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PRE-CLASS
6
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PRE-CLASS
1. What is the difference between analog and
digital measurements?
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
1. What is the difference between analog and
digital measurements?
Analog measurements are continuous and
encompass all measurements
Digital measurements are discrete and only
allow for certain measurements
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
2. List pros and cons of Analog and Digital
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
2. List pros and cons of Analog and Digital
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
Analog Digital
Natural
Faster
Cheaper
Continuous
Easier to store
Easier to process
Easier to replicate
Higher Noise Immunity
Discrete
Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7
Unix Permissions
& teaching Hexadecimal
Decimal 10 Ten
0, 1, 2, 3, 4,
5, 6, 7, 8, 9
Number System used by
modern civilizations
Hexadecimal 16 Sixteen
0, 1, 2, 3, 4, 5, 6, 7,
8, 9, A, B, C, D, E, F
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
Base # of Digits Digits Usage
Binary 2
Digital Computing
(On or Off)
Octal
Unix Permissions
& teaching Hexadecimal
Decimal
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
Base # of Digits Digits Usage
Binary 2 Two
Digital Computing
(On or Off)
Octal
Unix Permissions
& teaching Hexadecimal
Decimal
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal
Unix Permissions
& teaching Hexadecimal
Decimal
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8
Unix Permissions
& teaching Hexadecimal
Decimal
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight
Unix Permissions
& teaching Hexadecimal
Decimal
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7
Unix Permissions
& teaching Hexadecimal
Decimal
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7
Unix Permissions
& teaching Hexadecimal
Decimal 10
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7
Unix Permissions
& teaching Hexadecimal
Decimal 10 Ten
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7
Unix Permissions
& teaching Hexadecimal
Decimal 10 Ten
0, 1, 2, 3, 4,
5, 6, 7, 8, 9
Number System used by
modern civilizations
Hexadecimal
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7
Unix Permissions
& teaching Hexadecimal
Decimal 10 Ten
0, 1, 2, 3, 4,
5, 6, 7, 8, 9
Number System used by
modern civilizations
Hexadecimal 16
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7
Unix Permissions
& teaching Hexadecimal
Decimal 10 Ten
0, 1, 2, 3, 4,
5, 6, 7, 8, 9
Number System used by
modern civilizations
Hexadecimal 16 Sixteen
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
Base # of Digits Digits Usage
Binary 2 Two 0, 1
Digital Computing
(On or Off)
Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7
Unix Permissions
& teaching Hexadecimal
Decimal 10 Ten
0, 1, 2, 3, 4,
5, 6, 7, 8, 9
Number System used by
modern civilizations
Hexadecimal 16 Sixteen
0, 1, 2, 3, 4, 5, 6, 7,
8, 9, A, B, C, D, E, F
Compact notion of
binary data
3. Please fill out the following chart
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
1 1 1
000 000 000
4. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
1
1 1 1
000 000 000
5. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
2 1
1 1 1
000 000 000
4. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4 2 1
1 1 1
000 000 000
4. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4 2 1
1 1 1
000 000 000+4 + 2 + 1
4. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4 2 1
1 1 1
000 000 000+4 + 2 + 1
4. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4 2 1
1 1 1
000 000 000+4 + 2 + 1
4. Convert the number 111 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4 2 1
1 1 1
000 000 000+4 + 2 + 1 = 7
5. Convert the number 1011 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
5. Convert the number 1011 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
1 0 1 1
000 000 000 000
5. Convert the number 1011 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
1
1 0 1 1
000 000 000 000
5. Convert the number 1011 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
2 1
1 0 1 1
000 000 000 000
5. Convert the number 1011 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4 2 1
1 0 1 1
000 000 000 000
5. Convert the number 1011 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
8 4 2 1
1 0 1 1
000 000 000 000
5. Convert the number 1011 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
8 4 2 1
1 0 1 1
000 000 000 0008 + 2 + 1 = 11
5. Convert the number 1011 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
8 4 2 1
1 0 1 1
000 000 000 0008 + 2 + 1 = 11
6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
1 1 1 0 1 0 0 1
000 000 000 000 000 000 000 000
6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
1
1 1 1 0 1 0 0 1
000 000 000 000 000 000 000 000
6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
2 1
1 1 1 0 1 0 0 1
000 000 000 000 000 000 000 000
6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
4 2 1
1 1 1 0 1 0 0 1
000 000 000 000 000 000 000 000
6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
8 4 2 1
1 1 1 0 1 0 0 1
000 000 000 000 000 000 000 000
6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
16 8 4 2 1
1 1 1 0 1 0 0 1
000 000 000 000 000 000 000 000
6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
32 16 8 4 2 1
1 1 1 0 1 0 0 1
000 000 000 000 000 000 000 000
6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
64 32 16 8 4 2 1
1 1 1 0 1 0 0 1
000 000 000 000 000 000 000 000
6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
128 64 32 16 8 4 2 1
1 1 1 0 1 0 0 1
000 000 000 000 000 000 000 000
6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
128 64 32 16 8 4 2 1
1 1 1 0 1 0 0 1
000 000 000 000 000 000 000 000128 + 64 + 32 + 8 + 1
= 233
6. Convert the number 11101001 into Decimal
Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
Pre-Class worksheet
128 64 32 16 8 4 2 1
1 1 1 0 1 0 0 1
000 000 000 000 000 000 000 000128 + 64 + 32 + 8 + 1
= 233
INDEPENDENT ANALYSIS
Independent Analysis
You now have 11 min to try and solve this mystery!
Use the time to become familiarized with the task,
note your observations, and dispute your own claims.
595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
OBJECTIVE
1. Review Bin-Dec Conversion
2. Go Over Objective, Announcements
You know the drill!!!
3. Review Chapter 2
Intro to Digital Mathematics
4. Finish Exit Ticket, distribute Hw
5. Lab – in room Lab 4 @ 11:30
6. After Class see me for ?/help
Course Evaluation and Grading
Final Grades will be based on:
Category Weight
Labs 25%
Assignments 15%
Quizzes 10%
Unit Exams 15%
Laboratory Final 15%
Final Exam 20%
Total 100%
Grading Rubric for DigitalET 255
As if math alone
wasn’t hard enough
already…
Mathematical Operations in Binary
Chapter 2: 2-1 through 2-6
1.1 – 1.7 pg 40 – pg 61
Signed and Unsigned numbers
Mathematical Operations
In order to understand binary mathematics, we have
to understand some basic DECIMAL addition
ET 255ET 255 Number Systems and operations
Binary Power 2 1 2 1 2 1 2 1
Binary 0 0 0 1 1 0 1 1
Calculation: 0+0 0+1 2+0 2+1
Decimal 0 1 2 3
Signed and Unsigned numbers
Mathematical Operations
In order to understand binary mathematics, we have
to understand some basic DECIMAL addition
ET 255ET 255 Number Systems and operations
Binary Power 2 1 2 1 2 1 2 1
Binary 0 0 0 1 1 0 1 1
Calculation: 0+0 0+1 2+0 2+1
Decimal 0 1 2 3
Signed and Unsigned numbers
Mathematical Operations
In order to understand binary mathematics, we have
to understand some basic DECIMAL addition
ET 255ET 255 Number Systems and operations
Binary Power 2 1 2 1 2 1 2 1
Binary 0 0 0 1 1 0 1 1
Calculation: 0+0 0+1 2+0 2+1
Decimal 0 1 2 3
Signed and Unsigned numbers
Mathematical Operations
In order to understand binary mathematics, we have
to understand some basic DECIMAL addition
ET 255ET 255 Number Systems and operations
Binary Power 2 1 2 1 2 1 2 1
Binary 0 0 0 1 1 0 1 1
Calculation: 0+0 0+1 2+0 2+1
Decimal 0 1 2 3
Signed and Unsigned numbers
Mathematical Operations
The following table illustrates the binary
representation of the following decimal values
ET 255ET 255 Number Systems and operations
Decimal Binary
0 00
1 01
2 10
3 11
Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
OMG
like so what!
Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
So with binary
This means . . .
Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
0
So with binary
This means . . .
Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
0 1
So with binary
This means . . .
Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
0 1 1 0
So with binary
This means . . .
Signed and Unsigned numbers
Mathematical Operations
Next, let’s look at some basic Decimal Operations
ET 255ET 255 Number Systems and operations
1
0 0 1 1
+ 0 + 1 + 1 + 1
0 1 2 3
0 1 1 0 1 1
So with binary
This means . . .
Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operations
0 1 1 2
- 0 - 0 - 1 - 1
0 1 0 1
Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operations
0 1 1 2
- 0 - 0 - 1 - 1
0 1 0 1
Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operations
0 1 1 2
- 0 - 0 - 1 - 1
0 1 0 1
Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operations
0 1 1 2
- 0 - 0 - 1 - 1
0 1 0 1
Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operations
0 1 1 2
- 0 - 0 - 1 - 1
0 1 0 1
Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operations
0 1 1 2
- 0 - 0 - 1 - 1
0 1 0 1
So with binary
This means . . .
Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operations
0 1 1 1 0
- 0 - 0 - 1 - 1
0 1 0 1
So with binary
This means . . .
INDEPENDENT ANALYSIS
Independent Analysis
You now have 11 min to try and solve this mystery!
Use the time to become familiarized with the task,
note your observations, and dispute your own claims.
595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
Signed and Unsigned numbers
Mathematical Operations
Let’s look at Addition
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 2
+ 1 + 1
Signed and Unsigned numbers
Mathematical Operations
Let’s look at Addition
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 2
+ 1 + 1
Signed and Unsigned numbers
Mathematical Operations
Let’s look at Addition
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 2
+ 1 + 1
Signed and Unsigned numbers
Mathematical Operations
Let’s look at Addition
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 2
+ 1 + 1
Signed and Unsigned numbers
Mathematical Operations
Let’s look at Addition
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 2
+ 1 + 1
1
Signed and Unsigned numbers
Mathematical Operations
Let’s look at Addition
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 2
+ 1 + 1
1 1
Signed and Unsigned numbers
Mathematical Operations
Let’s look at Addition
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 2
+ 1 + 1
1 1 3
Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1
Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 3
- 1 -
Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 3
- 1 - 1
Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 3
- 1 - 1
Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 3
- 1 - 1
0
Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 3
- 1 - 1
1 0
Signed and Unsigned numbers
Mathematical Operations
Similarly, let’s look at Subtraction
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 3
- 1 - 1
1 0 2
Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 0
+ 0 1 1
Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 0 6
+ 0 1 1
Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 0 6
+ 0 1 1 3
Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 0 6
+ 0 1 1 + 3
Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 0 6
+ 0 1 1 + 3
1
Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 0 6
+ 0 1 1 + 3
0 1
1
Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 0 6
+ 0 1 1 + 3
1 0 0 1
1
Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1 0 6
+ 0 1 1 + 3
1 0 0 1 9
1
Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1
- 0 1 1
Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 5
- 0 1 1
Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 5
- 0 1 1 3
Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 5
- 0 1 1 - 3
Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 5
- 0 1 1 - 3
0
Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 5
- 0 1 1 - 3
0
1
Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 5
- 0 1 1 - 3
1 0
1
Signed and Unsigned numbers
Mathematical Operations
Now let’s try a more difficult problem!
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 5
- 0 1 1 - 3
1 0 2
1
INDEPENDENT ANALYSIS
Independent Analysis
You now have 11 min to try and solve this mystery!
Use the time to become familiarized with the task,
note your observations, and dispute your own claims.
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Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
Example 1 Example 2
1 0 0
+ 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
0
Example 1 Example 2
1 0 0
+ 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
0
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
1 0
1
11
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 1 1
+ 1 1
1 0 1 0
1
11
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
0
1 1 1
+ 1 1
1 0 1 0
1
11 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
0 0
1 1 1
+ 1 1
1 0 1 0
1
11 1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 0 0
1 1 1
+ 1 1
1 0 1 0
1
11 11 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
+ 1 1
1 1 0
Example 1 Example 2
1 0 0
+ 1 0
1 1 0
Example 3 Example 4
1 1 0 1
+ 1 1 1
1 0 1 0 0
1 1 1
+ 1 1
1 0 1 0
1
11 11 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
Example 5 Example 6
1 1 0 1
- 0 1 1
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
1
Example 5 Example 6
1 1 0 1
- 0 1 1
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 1 0 1
- 0 1 1
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 1 0 1
- 0 1 1
0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
0 1 0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
0
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
1 0
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
0 1 0
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 1 0
- 1 1 0 1
1 1 1 1
- 1 0 1
1 0 1 0
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 0 0
- 1 1 0 1
1 1 1 1
- 1 0 1
1 0 1 0
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 0 0
- 1 1 0 1
1
1 1 1 1
- 1 0 1
1 0 1 0
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 0 0
- 1 1 0 1
0 1
1 1 1 1
- 1 0 1
1 0 1 0
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 0 0
- 1 1 0 1
0 0 1
1 1 1 1
- 1 0 1
1 0 1 0
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
- 1 0
0 1
Example 5 Example 6
1 0 0 1
- 0 1 1
1 0 1 0
Example 7 Example 8
1 1 0 0
- 1 1 0 1
0 0 0 1
1 1 1 1
- 1 0 1
1 0 1 0
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 9 Example 10
0 1 0
0 0 1
+ 1 1 0
0 0 1
1 0 1
+ 1 1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 9 Example 10
0 1 0
0 0 1
+ 1 1 0
1
0 0 1
1 0 1
+ 1 1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 9 Example 10
0 1 0
0 0 1
+ 1 1 0
0 1
0 0 1
1 0 1
+ 1 1 1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 9 Example 10
0 1 0
0 0 1
+ 1 1 0
1 0 0 1
0 0 1
1 0 1
+ 1 1 1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 9 Example 10
0 1 0
0 0 1
+ 1 1 0
1 0 0 1
0 0 1
1 0 1
+ 1 1 1
1
1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 9 Example 10
0 1 0
0 0 1
+ 1 1 0
1 0 0 1
0 0 1
1 0 1
+ 1 1 1
0 1
1 11
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 9 Example 10
0 1 0
0 0 1
+ 1 1 0
1 0 0 1
0 0 1
1 0 1
+ 1 1 1
1 1 0 1
1 11
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
11
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
111
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
111
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
111
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
111
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
+ 0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
111
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
+ 0 0 1 1
1 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
111
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
+ 0 1 1 1
1 1 0 1
+ 0 1 1 1
111
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
+ 0 1 1 1
0
1 1 0 1
+ 0 1 1 1
111
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
+ 0 1 1 1
1 0
1 1 0 1
+ 0 1 1 1
111
1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
+ 0 1 1 1
0 1 0
1 1 0 1
+ 0 1 1 1
111
1 1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
+ 0 1 1 1
1 0 0 1 0
1 1 0 1
+ 0 1 1 1
111
1 1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
0 1 1 1
1 0 0 1 0
+ 1 1 0 1
+ 0 1 1 1
111
1 1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
0 1 1 1
1 0 0 1 0
+ 1 1 0 1
1 1 1 1 1
+ 0 1 1 1
111
1 1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
0 1 1 1
1 0 0 1 0
1 1 0 1
1 1 1 1 1
+ 0 1 1 1
111
1 1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
0 1 1 1
1 0 0 1 0
1 1 0 1
1 1 1 1 1
+ 0 1 1 1
0
111
1 1 1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
0 1 1 1
1 0 0 1 0
1 1 0 1
1 1 1 1 1
+ 0 1 1 1
1 0
111
1 1 1
11
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
0 1 1 1
1 0 0 1 0
1 1 0 1
1 1 1 1 1
+ 0 1 1 1
1 1 0
111
1 1 1
111
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
0 1 1 1
1 0 0 1 0
1 1 0 1
1 1 1 1 1
+ 0 1 1 1
0 1 1 0
111
1 1 1
1111
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
1 0 1 1
0 1 1 1
1 0 0 1 0
1 1 0 1
1 1 1 1 1
+ 0 1 1 1
1 0 0 1 1 0
111
1 1 1
1111
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
111
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
4
111
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
1 0 0
111
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
0
111
01
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
3 0
111
01
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
1 1 0
111
01
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
1 0
111
01
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
5 1 0
111
01
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
1 0 1 1 0
111
01
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
1 1 0
111
01
1
01
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
2 1 1 0
111
01
1
01
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
1 0 1 1 0
111
01
1
01
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
0 1 1 0
111
01
1
01
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
2 0 1 1 0
111
01
1
01
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Method 2 Example 12
1 0 0 0
0 1 0 1
0 1 1 1
+ 0 0 1 1
1 0 1 1 1
1 0 0 0
0 0 1 1
0 1 1 1
1 1 0 1
+ 0 1 1 1
0 0 1 1 0
111
01
1
01
1
0
1
1
1
1
Signed and Unsigned numbers
Mathematical Operations
Multiplication in binary is identical to in decimal
ET 255ET 255 Number Systems and operations
Signed and Unsigned numbers
Mathematical Operations
Multiplication in binary is identical to in decimal
ET 255ET 255 Number Systems and operations
Signed and Unsigned numbers
Mathematical Operations
Multiplication in binary is identical to in decimal
ET 255ET 255 Number Systems and operations
Signed and Unsigned numbers
Mathematical Operations
Multiplication in binary is identical to in decimal
ET 255ET 255 Number Systems and operations
Signed and Unsigned numbers
Mathematical Operations
Multiplication in binary is identical to in decimal
ET 255ET 255 Number Systems and operations
Signed and Unsigned numbers
Mathematical Operations
Multiplication in binary is identical to in decimal
ET 255ET 255 Number Systems and operations
INDEPENDENT ANALYSIS
Independent Analysis
You now have 11 min to try and solve this mystery!
Use the time to become familiarized with the task,
note your observations, and dispute your own claims.
595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0
x 1 1 1
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 7
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
o 1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
o 1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
o 1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
+o 1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
+o 1 0 0
1 1 1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
+o 1 0 0
1 1 1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0
1 0 0
+o 1 0 0
1 1 1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0 2 8
1 0 0
+o 1 0 0
1 1 1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0 2 8
1 0 0
+o 1 0 0
1 1 1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0 2 8
1 0 0
+o 1 0 0
1 1 1 0 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some multiplication
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 0 4
x 1 1 1 x 7
1 0 0 2 8
1 0 0
+o 1 0 0
1 1 1 0 0
Signed and Unsigned numbers
Mathematical Operations
Division in binary is also the same as in decimal
ET 255ET 255 Number Systems and operations
Signed and Unsigned numbers
Mathematical Operations
Division in binary is also the same as in decimal
ET 255ET 255 Number Systems and operations
Signed and Unsigned numbers
Mathematical Operations
Division in binary is also the same as in decimal
ET 255ET 255 Number Systems and operations
Signed and Unsigned numbers
Mathematical Operations
Division in binary is also the same as in decimal
ET 255ET 255 Number Systems and operations
Signed and Unsigned numbers
Mathematical Operations
Division in binary is also the same as in decimal
ET 255ET 255 Number Systems and operations
Signed and Unsigned numbers
Mathematical Operations
Division in binary is also the same as in decimal
ET 255ET 255 Number Systems and operations
Signed and Unsigned numbers
Mathematical Operations
Division in binary is also the same as in decimal
ET 255ET 255 Number Systems and operations
INDEPENDENT ANALYSIS
Independent Analysis
You now have 11 min to try and solve this mystery!
Use the time to become familiarized with the task,
note your observations, and dispute your own claims.
595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 0 1 1 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 0 1 1 0 2
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 0 1 1 0 2 2 2
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 0 1 1 0 2 2 2
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 0 1 0 1 1 0 2 2 2
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0
1 0 1 0 1 1 0 2 2 2
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0
1 0 1 0 1 1 0 2 2 2
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1
1 0 1 0 1 1 0 2 2 2
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1
1 0 1 0 1 1 0 2 2 2
- 1 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1
1 0 1 0 1 1 0 2 2 2
- 1 0
0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1
1 0 1 0 1 1 0 2 2 2
- 1 0 
0 1
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0
1 0 1 0 1 1 0 2 2 2
- 1 0 
0 1
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0
1 0 1 0 1 1 0 2 2 2
- 1 0  
0 1 1
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1
1 0 1 0 1 1 0 2 2 2
- 1 0  
0 1 1
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1
1 0 1 0 1 1 0 2 2 2
- 1 0  
0 1 1
- 1 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1
1 0 1 0 1 1 0 2 2 2
- 1 0  
0 1 1
- 1 0
1
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1
1 0 1 0 1 1 0 2 2 2
- 1 0  
0 1 1
- 1 0
1
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1
1 0 1 0 1 1 0 2 2 2
- 1 0   
0 1 1 
- 1 0 
1 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1
1 0 1 0 1 1 0 2 2 2
- 1 0   
0 1 1 
- 1 0 
1 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1 1
1 0 1 0 1 1 0 2 2 2
- 1 0   
0 1 1 
- 1 0 
1 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1 1
1 0 1 0 1 1 0 2 2 2
- 1 0   
0 1 1 
- 1 0 
1 0
- 1 0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1 1
1 0 1 0 1 1 0 2 2 2
- 1 0   
0 1 1 
- 1 0 
1 0
- 1 0
0
Signed and Unsigned numbers
Mathematical Operations
Let’s try some division
ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
0 1 0 1 1 1 1
1 0 1 0 1 1 0 2 2 2
- 1 0   
0 1 1 
- 1 0 
1 0
- 1 0
0
INDEPENDENT ANALYSIS
Independent Analysis
You now have 11 min to try and solve this mystery!
Use the time to become familiarized with the task,
note your observations, and dispute your own claims.
595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
Example 9 Example 10
1 0 0
x 1 0
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
Example 9 Example 10
1 0 0
x 1 0
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1
Example 9 Example 10
1 0 0
x 1 0
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
Example 9 Example 10
1 0 0
x 1 0
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
Example 9 Example 10
1 0 0
x 1 0
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1
Example 9 Example 10
1 0 0
x 1 0
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
Example 9 Example 10
1 0 0
x 1 0
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
Example 9 Example 10
1 0 0
x 1 0
+
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
+
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 1
Example 9 Example 10
1 0 0
x 1 0
+
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
+
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
+
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
+
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
+
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
0+
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
0 0+
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
1 0 0+
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
1 0 0+
1
+
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
1 0 0
0
+
1
+
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
1 0 0
0 0
+
1
+
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
1 0 0
0 0 0
+
1
+
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
1 0 0
1 0 0 0
+
1
+
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
1 1
x 1 1
1 1
1 1
0 0 1
Example 9 Example 10
1 0 0
x 1 0
0
1 0 0
1 0 0 0
+
1
+
3 x 3 = 9 2 x 4 = 8
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1 1 1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1 1 1+
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1 1 1
1
+
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1 1 1
0 1
+
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1 1 1
1 0 1
+
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
0 1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 0 1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 0 1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 0 1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 0 1
1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115
It’s time to try it out!!
Example 11 Example 12
1 1 0 1
x 1 1 1
1 1 0 1
0 1
1 1 1
x 1 1
1 1 1
1 1 1
0 1 0 1
+
1
1
1
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson
Binary Mathematics Sample Lesson

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Binary Mathematics Sample Lesson

  • 1. PRE-CLASS 6 Please Begin Working on your Pre-Class Questions PC Points: Independently & Silently 00 Come in and get started! Your Pre-Class is part of your Grade! j PRE-CLASS
  • 2. 1. What is the difference between analog and digital measurements? Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 3. 1. What is the difference between analog and digital measurements? Analog measurements are continuous and encompass all measurements Digital measurements are discrete and only allow for certain measurements Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 4. 2. List pros and cons of Analog and Digital Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 5. 2. List pros and cons of Analog and Digital Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet Analog Digital Natural Faster Cheaper Continuous Easier to store Easier to process Easier to replicate Higher Noise Immunity Discrete
  • 6. Base # of Digits Digits Usage Binary 2 Two 0, 1 Digital Computing (On or Off) Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7 Unix Permissions & teaching Hexadecimal Decimal 10 Ten 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Number System used by modern civilizations Hexadecimal 16 Sixteen 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F Compact notion of binary data 3. Please fill out the following chart Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 7. Base # of Digits Digits Usage Binary 2 Digital Computing (On or Off) Octal Unix Permissions & teaching Hexadecimal Decimal Number System used by modern civilizations Hexadecimal Compact notion of binary data 3. Please fill out the following chart Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 8. Base # of Digits Digits Usage Binary 2 Two Digital Computing (On or Off) Octal Unix Permissions & teaching Hexadecimal Decimal Number System used by modern civilizations Hexadecimal Compact notion of binary data 3. Please fill out the following chart Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 9. Base # of Digits Digits Usage Binary 2 Two 0, 1 Digital Computing (On or Off) Octal Unix Permissions & teaching Hexadecimal Decimal Number System used by modern civilizations Hexadecimal Compact notion of binary data 3. Please fill out the following chart Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 10. Base # of Digits Digits Usage Binary 2 Two 0, 1 Digital Computing (On or Off) Octal 8 Unix Permissions & teaching Hexadecimal Decimal Number System used by modern civilizations Hexadecimal Compact notion of binary data 3. Please fill out the following chart Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 11. Base # of Digits Digits Usage Binary 2 Two 0, 1 Digital Computing (On or Off) Octal 8 Eight Unix Permissions & teaching Hexadecimal Decimal Number System used by modern civilizations Hexadecimal Compact notion of binary data 3. Please fill out the following chart Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 12. Base # of Digits Digits Usage Binary 2 Two 0, 1 Digital Computing (On or Off) Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7 Unix Permissions & teaching Hexadecimal Decimal Number System used by modern civilizations Hexadecimal Compact notion of binary data 3. Please fill out the following chart Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 13. Base # of Digits Digits Usage Binary 2 Two 0, 1 Digital Computing (On or Off) Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7 Unix Permissions & teaching Hexadecimal Decimal 10 Number System used by modern civilizations Hexadecimal Compact notion of binary data 3. Please fill out the following chart Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 14. Base # of Digits Digits Usage Binary 2 Two 0, 1 Digital Computing (On or Off) Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7 Unix Permissions & teaching Hexadecimal Decimal 10 Ten Number System used by modern civilizations Hexadecimal Compact notion of binary data 3. Please fill out the following chart Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 15. Base # of Digits Digits Usage Binary 2 Two 0, 1 Digital Computing (On or Off) Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7 Unix Permissions & teaching Hexadecimal Decimal 10 Ten 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Number System used by modern civilizations Hexadecimal Compact notion of binary data 3. Please fill out the following chart Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 16. Base # of Digits Digits Usage Binary 2 Two 0, 1 Digital Computing (On or Off) Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7 Unix Permissions & teaching Hexadecimal Decimal 10 Ten 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Number System used by modern civilizations Hexadecimal 16 Compact notion of binary data 3. Please fill out the following chart Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 17. Base # of Digits Digits Usage Binary 2 Two 0, 1 Digital Computing (On or Off) Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7 Unix Permissions & teaching Hexadecimal Decimal 10 Ten 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Number System used by modern civilizations Hexadecimal 16 Sixteen Compact notion of binary data 3. Please fill out the following chart Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 18. Base # of Digits Digits Usage Binary 2 Two 0, 1 Digital Computing (On or Off) Octal 8 Eight 0, 1, 2, 3, 4, 5, 6, 7 Unix Permissions & teaching Hexadecimal Decimal 10 Ten 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Number System used by modern civilizations Hexadecimal 16 Sixteen 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F Compact notion of binary data 3. Please fill out the following chart Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 19. 4. Convert the number 111 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 20. 4. Convert the number 111 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 1 1 1 000 000 000
  • 21. 4. Convert the number 111 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 1 1 1 1 000 000 000
  • 22. 5. Convert the number 111 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 2 1 1 1 1 000 000 000
  • 23. 4. Convert the number 111 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 4 2 1 1 1 1 000 000 000
  • 24. 4. Convert the number 111 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 4 2 1 1 1 1 000 000 000+4 + 2 + 1
  • 25. 4. Convert the number 111 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 4 2 1 1 1 1 000 000 000+4 + 2 + 1
  • 26. 4. Convert the number 111 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 4 2 1 1 1 1 000 000 000+4 + 2 + 1
  • 27. 4. Convert the number 111 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 4 2 1 1 1 1 000 000 000+4 + 2 + 1 = 7
  • 28. 5. Convert the number 1011 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 29. 5. Convert the number 1011 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 1 0 1 1 000 000 000 000
  • 30. 5. Convert the number 1011 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 1 1 0 1 1 000 000 000 000
  • 31. 5. Convert the number 1011 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 2 1 1 0 1 1 000 000 000 000
  • 32. 5. Convert the number 1011 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 4 2 1 1 0 1 1 000 000 000 000
  • 33. 5. Convert the number 1011 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 8 4 2 1 1 0 1 1 000 000 000 000
  • 34. 5. Convert the number 1011 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 8 4 2 1 1 0 1 1 000 000 000 0008 + 2 + 1 = 11
  • 35. 5. Convert the number 1011 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 8 4 2 1 1 0 1 1 000 000 000 0008 + 2 + 1 = 11
  • 36. 6. Convert the number 11101001 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet
  • 37. 6. Convert the number 11101001 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 1 1 1 0 1 0 0 1 000 000 000 000 000 000 000 000
  • 38. 6. Convert the number 11101001 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 1 1 1 1 0 1 0 0 1 000 000 000 000 000 000 000 000
  • 39. 6. Convert the number 11101001 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 2 1 1 1 1 0 1 0 0 1 000 000 000 000 000 000 000 000
  • 40. 6. Convert the number 11101001 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 4 2 1 1 1 1 0 1 0 0 1 000 000 000 000 000 000 000 000
  • 41. 6. Convert the number 11101001 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 8 4 2 1 1 1 1 0 1 0 0 1 000 000 000 000 000 000 000 000
  • 42. 6. Convert the number 11101001 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 16 8 4 2 1 1 1 1 0 1 0 0 1 000 000 000 000 000 000 000 000
  • 43. 6. Convert the number 11101001 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 32 16 8 4 2 1 1 1 1 0 1 0 0 1 000 000 000 000 000 000 000 000
  • 44. 6. Convert the number 11101001 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 64 32 16 8 4 2 1 1 1 1 0 1 0 0 1 000 000 000 000 000 000 000 000
  • 45. 6. Convert the number 11101001 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 128 64 32 16 8 4 2 1 1 1 1 0 1 0 0 1 000 000 000 000 000 000 000 000
  • 46. 6. Convert the number 11101001 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 128 64 32 16 8 4 2 1 1 1 1 0 1 0 0 1 000 000 000 000 000 000 000 000128 + 64 + 32 + 8 + 1 = 233
  • 47. 6. Convert the number 11101001 into Decimal Try it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 Pre-Class worksheet 128 64 32 16 8 4 2 1 1 1 1 0 1 0 0 1 000 000 000 000 000 000 000 000128 + 64 + 32 + 8 + 1 = 233
  • 48. INDEPENDENT ANALYSIS Independent Analysis You now have 11 min to try and solve this mystery! Use the time to become familiarized with the task, note your observations, and dispute your own claims. 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
  • 49. OBJECTIVE 1. Review Bin-Dec Conversion 2. Go Over Objective, Announcements You know the drill!!! 3. Review Chapter 2 Intro to Digital Mathematics 4. Finish Exit Ticket, distribute Hw 5. Lab – in room Lab 4 @ 11:30 6. After Class see me for ?/help
  • 50. Course Evaluation and Grading Final Grades will be based on: Category Weight Labs 25% Assignments 15% Quizzes 10% Unit Exams 15% Laboratory Final 15% Final Exam 20% Total 100% Grading Rubric for DigitalET 255
  • 51. As if math alone wasn’t hard enough already… Mathematical Operations in Binary Chapter 2: 2-1 through 2-6 1.1 – 1.7 pg 40 – pg 61
  • 52. Signed and Unsigned numbers Mathematical Operations In order to understand binary mathematics, we have to understand some basic DECIMAL addition ET 255ET 255 Number Systems and operations Binary Power 2 1 2 1 2 1 2 1 Binary 0 0 0 1 1 0 1 1 Calculation: 0+0 0+1 2+0 2+1 Decimal 0 1 2 3
  • 53. Signed and Unsigned numbers Mathematical Operations In order to understand binary mathematics, we have to understand some basic DECIMAL addition ET 255ET 255 Number Systems and operations Binary Power 2 1 2 1 2 1 2 1 Binary 0 0 0 1 1 0 1 1 Calculation: 0+0 0+1 2+0 2+1 Decimal 0 1 2 3
  • 54. Signed and Unsigned numbers Mathematical Operations In order to understand binary mathematics, we have to understand some basic DECIMAL addition ET 255ET 255 Number Systems and operations Binary Power 2 1 2 1 2 1 2 1 Binary 0 0 0 1 1 0 1 1 Calculation: 0+0 0+1 2+0 2+1 Decimal 0 1 2 3
  • 55. Signed and Unsigned numbers Mathematical Operations In order to understand binary mathematics, we have to understand some basic DECIMAL addition ET 255ET 255 Number Systems and operations Binary Power 2 1 2 1 2 1 2 1 Binary 0 0 0 1 1 0 1 1 Calculation: 0+0 0+1 2+0 2+1 Decimal 0 1 2 3
  • 56. Signed and Unsigned numbers Mathematical Operations The following table illustrates the binary representation of the following decimal values ET 255ET 255 Number Systems and operations Decimal Binary 0 00 1 01 2 10 3 11
  • 57. Signed and Unsigned numbers Mathematical Operations Next, let’s look at some basic Decimal Operations ET 255ET 255 Number Systems and operations 1 0 0 1 1 + 0 + 1 + 1 + 1 0 1 2 3
  • 58. Signed and Unsigned numbers Mathematical Operations Next, let’s look at some basic Decimal Operations ET 255ET 255 Number Systems and operations 1 0 0 1 1 + 0 + 1 + 1 + 1 0 1 2 3
  • 59. Signed and Unsigned numbers Mathematical Operations Next, let’s look at some basic Decimal Operations ET 255ET 255 Number Systems and operations 1 0 0 1 1 + 0 + 1 + 1 + 1 0 1 2 3
  • 60. Signed and Unsigned numbers Mathematical Operations Next, let’s look at some basic Decimal Operations ET 255ET 255 Number Systems and operations 1 0 0 1 1 + 0 + 1 + 1 + 1 0 1 2 3
  • 61. Signed and Unsigned numbers Mathematical Operations Next, let’s look at some basic Decimal Operations ET 255ET 255 Number Systems and operations 1 0 0 1 1 + 0 + 1 + 1 + 1 0 1 2 3
  • 62. Signed and Unsigned numbers Mathematical Operations Next, let’s look at some basic Decimal Operations ET 255ET 255 Number Systems and operations 1 0 0 1 1 + 0 + 1 + 1 + 1 0 1 2 3 OMG like so what!
  • 63. Signed and Unsigned numbers Mathematical Operations Next, let’s look at some basic Decimal Operations ET 255ET 255 Number Systems and operations 1 0 0 1 1 + 0 + 1 + 1 + 1 0 1 2 3 So with binary This means . . .
  • 64. Signed and Unsigned numbers Mathematical Operations Next, let’s look at some basic Decimal Operations ET 255ET 255 Number Systems and operations 1 0 0 1 1 + 0 + 1 + 1 + 1 0 1 2 3 0 So with binary This means . . .
  • 65. Signed and Unsigned numbers Mathematical Operations Next, let’s look at some basic Decimal Operations ET 255ET 255 Number Systems and operations 1 0 0 1 1 + 0 + 1 + 1 + 1 0 1 2 3 0 1 So with binary This means . . .
  • 66. Signed and Unsigned numbers Mathematical Operations Next, let’s look at some basic Decimal Operations ET 255ET 255 Number Systems and operations 1 0 0 1 1 + 0 + 1 + 1 + 1 0 1 2 3 0 1 1 0 So with binary This means . . .
  • 67. Signed and Unsigned numbers Mathematical Operations Next, let’s look at some basic Decimal Operations ET 255ET 255 Number Systems and operations 1 0 0 1 1 + 0 + 1 + 1 + 1 0 1 2 3 0 1 1 0 1 1 So with binary This means . . .
  • 68. Signed and Unsigned numbers Mathematical Operations Similarly, let’s look at Subtraction ET 255ET 255 Number Systems and operations 0 1 1 2 - 0 - 0 - 1 - 1 0 1 0 1
  • 69. Signed and Unsigned numbers Mathematical Operations Similarly, let’s look at Subtraction ET 255ET 255 Number Systems and operations 0 1 1 2 - 0 - 0 - 1 - 1 0 1 0 1
  • 70. Signed and Unsigned numbers Mathematical Operations Similarly, let’s look at Subtraction ET 255ET 255 Number Systems and operations 0 1 1 2 - 0 - 0 - 1 - 1 0 1 0 1
  • 71. Signed and Unsigned numbers Mathematical Operations Similarly, let’s look at Subtraction ET 255ET 255 Number Systems and operations 0 1 1 2 - 0 - 0 - 1 - 1 0 1 0 1
  • 72. Signed and Unsigned numbers Mathematical Operations Similarly, let’s look at Subtraction ET 255ET 255 Number Systems and operations 0 1 1 2 - 0 - 0 - 1 - 1 0 1 0 1
  • 73. Signed and Unsigned numbers Mathematical Operations Similarly, let’s look at Subtraction ET 255ET 255 Number Systems and operations 0 1 1 2 - 0 - 0 - 1 - 1 0 1 0 1 So with binary This means . . .
  • 74. Signed and Unsigned numbers Mathematical Operations Similarly, let’s look at Subtraction ET 255ET 255 Number Systems and operations 0 1 1 1 0 - 0 - 0 - 1 - 1 0 1 0 1 So with binary This means . . .
  • 75. INDEPENDENT ANALYSIS Independent Analysis You now have 11 min to try and solve this mystery! Use the time to become familiarized with the task, note your observations, and dispute your own claims. 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
  • 76. Signed and Unsigned numbers Mathematical Operations Let’s look at Addition ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 2 + 1 + 1
  • 77. Signed and Unsigned numbers Mathematical Operations Let’s look at Addition ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 2 + 1 + 1
  • 78. Signed and Unsigned numbers Mathematical Operations Let’s look at Addition ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 2 + 1 + 1
  • 79. Signed and Unsigned numbers Mathematical Operations Let’s look at Addition ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 2 + 1 + 1
  • 80. Signed and Unsigned numbers Mathematical Operations Let’s look at Addition ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 2 + 1 + 1 1
  • 81. Signed and Unsigned numbers Mathematical Operations Let’s look at Addition ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 2 + 1 + 1 1 1
  • 82. Signed and Unsigned numbers Mathematical Operations Let’s look at Addition ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 2 + 1 + 1 1 1 3
  • 83. Signed and Unsigned numbers Mathematical Operations Similarly, let’s look at Subtraction ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1
  • 84. Signed and Unsigned numbers Mathematical Operations Similarly, let’s look at Subtraction ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 3 - 1 -
  • 85. Signed and Unsigned numbers Mathematical Operations Similarly, let’s look at Subtraction ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 3 - 1 - 1
  • 86. Signed and Unsigned numbers Mathematical Operations Similarly, let’s look at Subtraction ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 3 - 1 - 1
  • 87. Signed and Unsigned numbers Mathematical Operations Similarly, let’s look at Subtraction ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 3 - 1 - 1 0
  • 88. Signed and Unsigned numbers Mathematical Operations Similarly, let’s look at Subtraction ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 3 - 1 - 1 1 0
  • 89. Signed and Unsigned numbers Mathematical Operations Similarly, let’s look at Subtraction ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 3 - 1 - 1 1 0 2
  • 90. Signed and Unsigned numbers Mathematical Operations Now let’s try a more difficult problem! ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 0 + 0 1 1
  • 91. Signed and Unsigned numbers Mathematical Operations Now let’s try a more difficult problem! ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 0 6 + 0 1 1
  • 92. Signed and Unsigned numbers Mathematical Operations Now let’s try a more difficult problem! ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 0 6 + 0 1 1 3
  • 93. Signed and Unsigned numbers Mathematical Operations Now let’s try a more difficult problem! ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 0 6 + 0 1 1 + 3
  • 94. Signed and Unsigned numbers Mathematical Operations Now let’s try a more difficult problem! ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 0 6 + 0 1 1 + 3 1
  • 95. Signed and Unsigned numbers Mathematical Operations Now let’s try a more difficult problem! ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 0 6 + 0 1 1 + 3 0 1 1
  • 96. Signed and Unsigned numbers Mathematical Operations Now let’s try a more difficult problem! ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 0 6 + 0 1 1 + 3 1 0 0 1 1
  • 97. Signed and Unsigned numbers Mathematical Operations Now let’s try a more difficult problem! ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 0 6 + 0 1 1 + 3 1 0 0 1 9 1
  • 98. Signed and Unsigned numbers Mathematical Operations Now let’s try a more difficult problem! ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 1 - 0 1 1
  • 99. Signed and Unsigned numbers Mathematical Operations Now let’s try a more difficult problem! ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 1 5 - 0 1 1
  • 100. Signed and Unsigned numbers Mathematical Operations Now let’s try a more difficult problem! ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 1 5 - 0 1 1 3
  • 101. Signed and Unsigned numbers Mathematical Operations Now let’s try a more difficult problem! ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 1 5 - 0 1 1 - 3
  • 102. Signed and Unsigned numbers Mathematical Operations Now let’s try a more difficult problem! ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 1 5 - 0 1 1 - 3 0
  • 103. Signed and Unsigned numbers Mathematical Operations Now let’s try a more difficult problem! ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 1 5 - 0 1 1 - 3 0 1
  • 104. Signed and Unsigned numbers Mathematical Operations Now let’s try a more difficult problem! ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 1 5 - 0 1 1 - 3 1 0 1
  • 105. Signed and Unsigned numbers Mathematical Operations Now let’s try a more difficult problem! ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 1 5 - 0 1 1 - 3 1 0 2 1
  • 106. INDEPENDENT ANALYSIS Independent Analysis You now have 11 min to try and solve this mystery! Use the time to become familiarized with the task, note your observations, and dispute your own claims. 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
  • 107. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 + 1 1 Example 1 Example 2 1 0 0 + 1 0 Example 3 Example 4 1 1 0 1 + 1 1 1 1 1 1 + 1 1
  • 108. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 + 1 1 0 Example 1 Example 2 1 0 0 + 1 0 Example 3 Example 4 1 1 0 1 + 1 1 1 1 1 1 + 1 1 1
  • 109. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 + 1 1 1 1 0 Example 1 Example 2 1 0 0 + 1 0 Example 3 Example 4 1 1 0 1 + 1 1 1 1 1 1 + 1 1 1
  • 110. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 + 1 1 1 1 0 Example 1 Example 2 1 0 0 + 1 0 0 Example 3 Example 4 1 1 0 1 + 1 1 1 1 1 1 + 1 1 1
  • 111. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 + 1 1 1 1 0 Example 1 Example 2 1 0 0 + 1 0 1 0 Example 3 Example 4 1 1 0 1 + 1 1 1 1 1 1 + 1 1 1
  • 112. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 + 1 1 1 1 0 Example 1 Example 2 1 0 0 + 1 0 1 1 0 Example 3 Example 4 1 1 0 1 + 1 1 1 1 1 1 + 1 1 1
  • 113. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 + 1 1 1 1 0 Example 1 Example 2 1 0 0 + 1 0 1 1 0 Example 3 Example 4 1 1 0 1 + 1 1 1 1 1 1 + 1 1 0 1 1
  • 114. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 + 1 1 1 1 0 Example 1 Example 2 1 0 0 + 1 0 1 1 0 Example 3 Example 4 1 1 0 1 + 1 1 1 1 1 1 + 1 1 1 0 1 11
  • 115. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 + 1 1 1 1 0 Example 1 Example 2 1 0 0 + 1 0 1 1 0 Example 3 Example 4 1 1 0 1 + 1 1 1 1 1 1 + 1 1 1 0 1 0 1 11
  • 116. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 + 1 1 1 1 0 Example 1 Example 2 1 0 0 + 1 0 1 1 0 Example 3 Example 4 1 1 0 1 + 1 1 1 0 1 1 1 + 1 1 1 0 1 0 1 11 1
  • 117. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 + 1 1 1 1 0 Example 1 Example 2 1 0 0 + 1 0 1 1 0 Example 3 Example 4 1 1 0 1 + 1 1 1 0 0 1 1 1 + 1 1 1 0 1 0 1 11 1 1
  • 118. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 + 1 1 1 1 0 Example 1 Example 2 1 0 0 + 1 0 1 1 0 Example 3 Example 4 1 1 0 1 + 1 1 1 1 0 0 1 1 1 + 1 1 1 0 1 0 1 11 11 1
  • 119. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 + 1 1 1 1 0 Example 1 Example 2 1 0 0 + 1 0 1 1 0 Example 3 Example 4 1 1 0 1 + 1 1 1 1 0 1 0 0 1 1 1 + 1 1 1 0 1 0 1 11 11 1
  • 120. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 Example 5 Example 6 1 1 0 1 - 0 1 1 Example 7 Example 8 1 1 1 0 - 1 1 0 1 1 1 1 1 - 1 0 1
  • 121. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 1 Example 5 Example 6 1 1 0 1 - 0 1 1 Example 7 Example 8 1 1 1 0 - 1 1 0 1 1 1 1 1 - 1 0 1
  • 122. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 0 1 Example 5 Example 6 1 1 0 1 - 0 1 1 Example 7 Example 8 1 1 1 0 - 1 1 0 1 1 1 1 1 - 1 0 1
  • 123. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 0 1 Example 5 Example 6 1 1 0 1 - 0 1 1 0 Example 7 Example 8 1 1 1 0 - 1 1 0 1 1 1 1 1 - 1 0 1
  • 124. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 0 1 Example 5 Example 6 1 0 0 1 - 0 1 1 0 Example 7 Example 8 1 1 1 0 - 1 1 0 1 1 1 1 1 - 1 0 1 1
  • 125. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 0 1 Example 5 Example 6 1 0 0 1 - 0 1 1 1 0 Example 7 Example 8 1 1 1 0 - 1 1 0 1 1 1 1 1 - 1 0 1 1
  • 126. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 0 1 Example 5 Example 6 1 0 0 1 - 0 1 1 0 1 0 Example 7 Example 8 1 1 1 0 - 1 1 0 1 1 1 1 1 - 1 0 1 1
  • 127. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 0 1 Example 5 Example 6 1 0 0 1 - 0 1 1 1 0 1 0 Example 7 Example 8 1 1 1 0 - 1 1 0 1 1 1 1 1 - 1 0 1 1
  • 128. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 0 1 Example 5 Example 6 1 0 0 1 - 0 1 1 1 0 1 0 Example 7 Example 8 1 1 1 0 - 1 1 0 1 1 1 1 1 - 1 0 1 0 1
  • 129. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 0 1 Example 5 Example 6 1 0 0 1 - 0 1 1 1 0 1 0 Example 7 Example 8 1 1 1 0 - 1 1 0 1 1 1 1 1 - 1 0 1 1 0 1
  • 130. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 0 1 Example 5 Example 6 1 0 0 1 - 0 1 1 1 0 1 0 Example 7 Example 8 1 1 1 0 - 1 1 0 1 1 1 1 1 - 1 0 1 0 1 0 1
  • 131. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 0 1 Example 5 Example 6 1 0 0 1 - 0 1 1 1 0 1 0 Example 7 Example 8 1 1 1 0 - 1 1 0 1 1 1 1 1 - 1 0 1 1 0 1 0 1
  • 132. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 0 1 Example 5 Example 6 1 0 0 1 - 0 1 1 1 0 1 0 Example 7 Example 8 1 1 0 0 - 1 1 0 1 1 1 1 1 - 1 0 1 1 0 1 0 1 1
  • 133. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 0 1 Example 5 Example 6 1 0 0 1 - 0 1 1 1 0 1 0 Example 7 Example 8 1 1 0 0 - 1 1 0 1 1 1 1 1 1 - 1 0 1 1 0 1 0 1 1
  • 134. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 0 1 Example 5 Example 6 1 0 0 1 - 0 1 1 1 0 1 0 Example 7 Example 8 1 1 0 0 - 1 1 0 1 0 1 1 1 1 1 - 1 0 1 1 0 1 0 1 1
  • 135. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 0 1 Example 5 Example 6 1 0 0 1 - 0 1 1 1 0 1 0 Example 7 Example 8 1 1 0 0 - 1 1 0 1 0 0 1 1 1 1 1 - 1 0 1 1 0 1 0 1 1
  • 136. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 - 1 0 0 1 Example 5 Example 6 1 0 0 1 - 0 1 1 1 0 1 0 Example 7 Example 8 1 1 0 0 - 1 1 0 1 0 0 0 1 1 1 1 1 - 1 0 1 1 0 1 0 1 1
  • 137. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 9 Example 10 0 1 0 0 0 1 + 1 1 0 0 0 1 1 0 1 + 1 1 1
  • 138. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 9 Example 10 0 1 0 0 0 1 + 1 1 0 1 0 0 1 1 0 1 + 1 1 1
  • 139. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 9 Example 10 0 1 0 0 0 1 + 1 1 0 0 1 0 0 1 1 0 1 + 1 1 1 1
  • 140. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 9 Example 10 0 1 0 0 0 1 + 1 1 0 1 0 0 1 0 0 1 1 0 1 + 1 1 1 1
  • 141. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 9 Example 10 0 1 0 0 0 1 + 1 1 0 1 0 0 1 0 0 1 1 0 1 + 1 1 1 1 1 1
  • 142. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 9 Example 10 0 1 0 0 0 1 + 1 1 0 1 0 0 1 0 0 1 1 0 1 + 1 1 1 0 1 1 11
  • 143. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 9 Example 10 0 1 0 0 0 1 + 1 1 0 1 0 0 1 0 0 1 1 0 1 + 1 1 1 1 1 0 1 1 11
  • 144. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1
  • 145. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 1
  • 146. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 11
  • 147. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 111
  • 148. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 111
  • 149. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 111
  • 150. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 111
  • 151. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 + 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 111
  • 152. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 + 0 0 1 1 1 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 111
  • 153. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 + 0 1 1 1 1 1 0 1 + 0 1 1 1 111
  • 154. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 + 0 1 1 1 0 1 1 0 1 + 0 1 1 1 111 1
  • 155. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 + 0 1 1 1 1 0 1 1 0 1 + 0 1 1 1 111 1 1
  • 156. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 + 0 1 1 1 0 1 0 1 1 0 1 + 0 1 1 1 111 1 1 1
  • 157. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 + 0 1 1 1 1 0 0 1 0 1 1 0 1 + 0 1 1 1 111 1 1 1
  • 158. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 0 + 1 1 0 1 + 0 1 1 1 111 1 1 1
  • 159. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 0 + 1 1 0 1 1 1 1 1 1 + 0 1 1 1 111 1 1 1
  • 160. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 1 + 0 1 1 1 111 1 1 1
  • 161. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 1 + 0 1 1 1 0 111 1 1 1 1
  • 162. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 1 + 0 1 1 1 1 0 111 1 1 1 11
  • 163. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 1 + 0 1 1 1 1 1 0 111 1 1 1 111
  • 164. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 1 + 0 1 1 1 0 1 1 0 111 1 1 1 1111
  • 165. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 1 0 1 1 0 1 1 1 1 0 0 1 0 1 1 0 1 1 1 1 1 1 + 0 1 1 1 1 0 0 1 1 0 111 1 1 1 1111
  • 166. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Method 2 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 111
  • 167. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Method 2 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 4 111
  • 168. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Method 2 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 1 0 0 111
  • 169. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Method 2 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 0 111 01
  • 170. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Method 2 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 3 0 111 01
  • 171. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Method 2 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 1 1 0 111 01
  • 172. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Method 2 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 1 0 111 01 1
  • 173. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Method 2 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 5 1 0 111 01 1
  • 174. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Method 2 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 1 0 1 1 0 111 01 1
  • 175. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Method 2 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 1 1 0 111 01 1 01
  • 176. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Method 2 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 2 1 1 0 111 01 1 01
  • 177. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Method 2 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 1 0 1 1 0 111 01 1 01
  • 178. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Method 2 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 0 1 1 0 111 01 1 01 1
  • 179. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Method 2 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 2 0 1 1 0 111 01 1 01 1
  • 180. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Method 2 Example 12 1 0 0 0 0 1 0 1 0 1 1 1 + 0 0 1 1 1 0 1 1 1 1 0 0 0 0 0 1 1 0 1 1 1 1 1 0 1 + 0 1 1 1 0 0 1 1 0 111 01 1 01 1 0 1 1 1 1
  • 181. Signed and Unsigned numbers Mathematical Operations Multiplication in binary is identical to in decimal ET 255ET 255 Number Systems and operations
  • 182. Signed and Unsigned numbers Mathematical Operations Multiplication in binary is identical to in decimal ET 255ET 255 Number Systems and operations
  • 183. Signed and Unsigned numbers Mathematical Operations Multiplication in binary is identical to in decimal ET 255ET 255 Number Systems and operations
  • 184. Signed and Unsigned numbers Mathematical Operations Multiplication in binary is identical to in decimal ET 255ET 255 Number Systems and operations
  • 185. Signed and Unsigned numbers Mathematical Operations Multiplication in binary is identical to in decimal ET 255ET 255 Number Systems and operations
  • 186. Signed and Unsigned numbers Mathematical Operations Multiplication in binary is identical to in decimal ET 255ET 255 Number Systems and operations
  • 187. INDEPENDENT ANALYSIS Independent Analysis You now have 11 min to try and solve this mystery! Use the time to become familiarized with the task, note your observations, and dispute your own claims. 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
  • 188. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 x 1 1 1
  • 189. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1
  • 190. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 7
  • 191. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7
  • 192. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7
  • 193. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0
  • 194. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0
  • 195. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0
  • 196. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0
  • 197. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0 1 0 0
  • 198. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0 1 0 0
  • 199. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0 1 0 0
  • 200. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0 1 0 0
  • 201. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0 1 0 0 o 1 0 0
  • 202. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0 1 0 0 o 1 0 0
  • 203. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0 1 0 0 o 1 0 0
  • 204. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0 1 0 0 +o 1 0 0
  • 205. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0 1 0 0 +o 1 0 0 1 1 1 0 0
  • 206. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0 1 0 0 +o 1 0 0 1 1 1 0 0
  • 207. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0 1 0 0 +o 1 0 0 1 1 1 0 0
  • 208. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0 2 8 1 0 0 +o 1 0 0 1 1 1 0 0
  • 209. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0 2 8 1 0 0 +o 1 0 0 1 1 1 0 0
  • 210. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0 2 8 1 0 0 +o 1 0 0 1 1 1 0 0
  • 211. Signed and Unsigned numbers Mathematical Operations Let’s try some multiplication ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 0 4 x 1 1 1 x 7 1 0 0 2 8 1 0 0 +o 1 0 0 1 1 1 0 0
  • 212. Signed and Unsigned numbers Mathematical Operations Division in binary is also the same as in decimal ET 255ET 255 Number Systems and operations
  • 213. Signed and Unsigned numbers Mathematical Operations Division in binary is also the same as in decimal ET 255ET 255 Number Systems and operations
  • 214. Signed and Unsigned numbers Mathematical Operations Division in binary is also the same as in decimal ET 255ET 255 Number Systems and operations
  • 215. Signed and Unsigned numbers Mathematical Operations Division in binary is also the same as in decimal ET 255ET 255 Number Systems and operations
  • 216. Signed and Unsigned numbers Mathematical Operations Division in binary is also the same as in decimal ET 255ET 255 Number Systems and operations
  • 217. Signed and Unsigned numbers Mathematical Operations Division in binary is also the same as in decimal ET 255ET 255 Number Systems and operations
  • 218. Signed and Unsigned numbers Mathematical Operations Division in binary is also the same as in decimal ET 255ET 255 Number Systems and operations
  • 219. INDEPENDENT ANALYSIS Independent Analysis You now have 11 min to try and solve this mystery! Use the time to become familiarized with the task, note your observations, and dispute your own claims. 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
  • 220. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 1 0 1 1 0
  • 221. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 1 0 1 1 0 2
  • 222. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 1 0 1 1 0 2 2 2
  • 223. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 1 0 1 1 0 2 2 2
  • 224. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 0 1 0 1 1 0 2 2 2
  • 225. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 0 1 0 1 1 0 2 2 2
  • 226. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 0 1 0 1 1 0 2 2 2
  • 227. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 1 0 1 0 1 1 0 2 2 2
  • 228. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 1 0 1 0 1 1 0 2 2 2 - 1 0
  • 229. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 1 0 1 0 1 1 0 2 2 2 - 1 0 0
  • 230. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 1 0 1 0 1 1 0 2 2 2 - 1 0  0 1
  • 231. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 0 1 0 1 0 1 1 0 2 2 2 - 1 0  0 1
  • 232. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 0 1 0 1 0 1 1 0 2 2 2 - 1 0   0 1 1
  • 233. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 0 1 1 0 1 0 1 1 0 2 2 2 - 1 0   0 1 1
  • 234. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 0 1 1 0 1 0 1 1 0 2 2 2 - 1 0   0 1 1 - 1 0
  • 235. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 0 1 1 0 1 0 1 1 0 2 2 2 - 1 0   0 1 1 - 1 0 1
  • 236. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 0 1 1 0 1 0 1 1 0 2 2 2 - 1 0   0 1 1 - 1 0 1
  • 237. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 0 1 1 0 1 0 1 1 0 2 2 2 - 1 0    0 1 1  - 1 0  1 0
  • 238. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 0 1 1 0 1 0 1 1 0 2 2 2 - 1 0    0 1 1  - 1 0  1 0
  • 239. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 0 1 1 1 0 1 0 1 1 0 2 2 2 - 1 0    0 1 1  - 1 0  1 0
  • 240. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 0 1 1 1 0 1 0 1 1 0 2 2 2 - 1 0    0 1 1  - 1 0  1 0 - 1 0
  • 241. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 0 1 1 1 0 1 0 1 1 0 2 2 2 - 1 0    0 1 1  - 1 0  1 0 - 1 0 0
  • 242. Signed and Unsigned numbers Mathematical Operations Let’s try some division ET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 0 1 0 1 1 1 1 1 0 1 0 1 1 0 2 2 2 - 1 0    0 1 1  - 1 0  1 0 - 1 0 0
  • 243. INDEPENDENT ANALYSIS Independent Analysis You now have 11 min to try and solve this mystery! Use the time to become familiarized with the task, note your observations, and dispute your own claims. 595857565554535251504948474645444342414039383736353433323130292827262524232221201918171615141312111009080706050403020100
  • 244. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 Example 9 Example 10 1 0 0 x 1 0
  • 245. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 Example 9 Example 10 1 0 0 x 1 0
  • 246. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 Example 9 Example 10 1 0 0 x 1 0
  • 247. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 Example 9 Example 10 1 0 0 x 1 0
  • 248. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 Example 9 Example 10 1 0 0 x 1 0
  • 249. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 Example 9 Example 10 1 0 0 x 1 0
  • 250. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 Example 9 Example 10 1 0 0 x 1 0
  • 251. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 Example 9 Example 10 1 0 0 x 1 0 +
  • 252. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 0 0 1 Example 9 Example 10 1 0 0 x 1 0 +
  • 253. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 0 1 Example 9 Example 10 1 0 0 x 1 0 + 1
  • 254. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 0 0 1 Example 9 Example 10 1 0 0 x 1 0 + 1 1
  • 255. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 0 0 1 Example 9 Example 10 1 0 0 x 1 0 + 1 1
  • 256. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 0 0 1 Example 9 Example 10 1 0 0 x 1 0 0 + 1 1
  • 257. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 0 0 1 Example 9 Example 10 1 0 0 x 1 0 0 + 1 1
  • 258. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 0 0 1 Example 9 Example 10 1 0 0 x 1 0 0 0+ 1 1
  • 259. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 0 0 1 Example 9 Example 10 1 0 0 x 1 0 0 0 0+ 1 1
  • 260. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 0 0 1 Example 9 Example 10 1 0 0 x 1 0 0 1 0 0+ 1 1
  • 261. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 0 0 1 Example 9 Example 10 1 0 0 x 1 0 0 1 0 0+ 1 + 1
  • 262. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 0 0 1 Example 9 Example 10 1 0 0 x 1 0 0 1 0 0 0 + 1 + 1
  • 263. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 0 0 1 Example 9 Example 10 1 0 0 x 1 0 0 1 0 0 0 0 + 1 + 1
  • 264. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 0 0 1 Example 9 Example 10 1 0 0 x 1 0 0 1 0 0 0 0 0 + 1 + 1
  • 265. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 0 0 1 Example 9 Example 10 1 0 0 x 1 0 0 1 0 0 1 0 0 0 + 1 + 1
  • 266. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! 1 1 x 1 1 1 1 1 1 0 0 1 Example 9 Example 10 1 0 0 x 1 0 0 1 0 0 1 0 0 0 + 1 + 3 x 3 = 9 2 x 4 = 8 1
  • 267. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 1 x 1 1
  • 268. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 1 x 1 1
  • 269. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 1 x 1 1 1
  • 270. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 1 x 1 1 1 1
  • 271. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 1 x 1 1 1 1 1
  • 272. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 1 x 1 1 1 1 1
  • 273. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 1 x 1 1 1 1 1 1
  • 274. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 1 x 1 1 1 1 1 1 1
  • 275. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 1 x 1 1 1 1 1 1 1 1
  • 276. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 1 x 1 1 1 1 1 1 1 1+
  • 277. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 1 x 1 1 1 1 1 1 1 1 1 +
  • 278. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 1 x 1 1 1 1 1 1 1 1 0 1 + 1
  • 279. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 1 x 1 1 1 1 1 1 1 1 1 0 1 + 1 1
  • 280. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 1 x 1 1 1 1 1 1 1 1 0 1 0 1 + 1 1 1
  • 281. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 1 x 1 1 1 1 1 1 1 1 0 1 0 1 + 1 1 1
  • 282. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 1 1 x 1 1 1 1 1 1 1 1 0 1 0 1 + 1 1 1
  • 283. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 0 1 1 1 1 x 1 1 1 1 1 1 1 1 0 1 0 1 + 1 1 1
  • 284. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 0 1 1 1 1 x 1 1 1 1 1 1 1 1 0 1 0 1 + 1 1 1
  • 285. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 0 1 1 1 1 x 1 1 1 1 1 1 1 1 0 1 0 1 + 1 1 1
  • 286. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 0 1 1 1 1 x 1 1 1 1 1 1 1 1 0 1 0 1 + 1 1 1
  • 287. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 0 1 1 1 1 1 x 1 1 1 1 1 1 1 1 0 1 0 1 + 1 1 1
  • 288. Signed and Unsigned numbersET 255ET 255 Number Systems and operationsUnit 2 Computer MathTB 143ET 255 Number Systems and operationsTry it OutExample 2Example 1Sample ProblemScientific NotationScientific NotationScientific NotationET 115 It’s time to try it out!! Example 11 Example 12 1 1 0 1 x 1 1 1 1 1 0 1 0 1 1 1 1 x 1 1 1 1 1 1 1 1 0 1 0 1 + 1 1 1