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ART1062-Introduction to Computing
Chapter 2:
Basic Information Technology (IT)
ART1062 -Learning Outcome (LOC)
 Understand the basic computer / IT functions.
 Explore Computer Number System.
2
Computer System
 When we type some letters or words, the
computer translates them in numbers (0, 1) as
computers can understand only numbers.
 A computer can understand the positional
number system where there are only a few
symbols called digits and these symbols
represent different values depending on the
position they occupy in the number.
Computer System
 Is a collection of related components that have
all been designed to work together smoothly.
Component Interaction
The CPU controls all of the other resources within the
system, in order to accomplish a task.
Computer Number System
Bit - the smallest unit of data that a computer
uses. It can be used to represent two states of
information, such as 1-Yes / On or 0-No / Off.
Byte - is equal to 8 Bits. A Byte can represent 256
states of information (0 to 255).
For example: numbers or a combination of
numbers and letters. 1 Byte could be equal to one
character.
Bits on Bytes
0, 1 = bits
1 byte = 8 bits
1 kilobyte (K / Kb) = 1,024 bytes
1 megabyte (M / Mb) = 1024 Kb
1 gigabyte (G / Gb) = 1024 Mb
1 terabyte (T/ Tb) = 1024 Gb
1 petabyte (P/ Pb) = 1024 Tb
Common Number Systems
System Base Symbols
Used by
humans?
Used in
computers?
Decimal 10 0, 1, … 9 Yes No
Binary 2 0, 1 No Yes
Octal 8 0, 1, … 7 No No
Hexa-
decimal
16 0, 1, … 9, A, B, C, D, E, F No No
Quantities/Counting (1 of 3)
Decimal Binary Octal
Hexa-decimal
0 0 0 0
1 1 1 1
2 10 2 2
3 11 3 3
4 100 4 4
5 101 5 5
6 110 6 6
7 111 7 7
Quantities/Counting (2 of 3)
Decimal Binary Octal
Hexa-decimal
8 1000 10 8
9 1001 11 9
10 1010 12 A
11 1011 13 B
12 1100 14 C
13 1101 15 D
14 1110 16 E
15 1111 17 F
Quantities/Counting (3 of 3)
Decimal Binary Octal
Hexa-
decimal
16 10000 20 10
17 10001 21 11
18 10010 22 12
19 10011 23 13
20 10100 24 14
21 10101 25 15
22 10110 26 16
23 10111 27 17
Conversion Among Bases
 The possibilities:
Hexadecimal
Decimal Octal
Binary
Quick Example
2510 = ( )2
Base
Quick Example
(25)10 = (11001)2
Base
Quick Example
35210 = ( )2
Base
Quick Example
35210 = (101100000)2
Base
Decimal to Decimal
Hexadecimal
Decimal Octal
Binary
Next slide…
12510 => 5 x 100 = 5
2 x 101 = 20
1 x 102 = 100
125
Base
Weight
Binary to Decimal
Hexadecimal
Decimal Octal
Binary
Binary to Decimal
 Technique
 Multiply each bit by 2n, where n is the “weight”
of the bit
 The weight is the position of the bit, starting
from 0 on the right
 Add the results
Example
1010112 => 1 x 20 = 1
1 x 21 = 2
0 x 22 = 0
1 x 23 = 8
0 x 24 = 0
1 x 25 = 32
4310
Bit “0”
Example #1
What is the binary equivalent of the decimal
number 14. Or, written with base subscripts:
1410 = 11102
Example #2
What is the binary equivalent of the decimal
number 87. Or, written with base subscripts:
8710 = (1110101)2
Example #3
What is the binary equivalent of the decimal number 156.
Or, written with base subscripts: 15610 = 100111002
Example #4
Example #5
What is the binary equivalent of the decimal
number 45610
45610= (…………….)2
Example #6
What is the decimal equivalent of the binary
number 74310
74310 = (………………….) 2
Example #7
What is the decimal equivalent of the binary
number 1001012 Or, written with base
subscripts:
1001012 = (………)10
Example #8
What is the decimal equivalent of the binary
number 110010112 Or, written with base
subscripts: 110010112 = ??
Chapter 2.ppt

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Chapter 2.ppt

  • 1. ART1062-Introduction to Computing Chapter 2: Basic Information Technology (IT)
  • 2. ART1062 -Learning Outcome (LOC)  Understand the basic computer / IT functions.  Explore Computer Number System. 2
  • 3. Computer System  When we type some letters or words, the computer translates them in numbers (0, 1) as computers can understand only numbers.  A computer can understand the positional number system where there are only a few symbols called digits and these symbols represent different values depending on the position they occupy in the number.
  • 4. Computer System  Is a collection of related components that have all been designed to work together smoothly.
  • 5. Component Interaction The CPU controls all of the other resources within the system, in order to accomplish a task.
  • 6. Computer Number System Bit - the smallest unit of data that a computer uses. It can be used to represent two states of information, such as 1-Yes / On or 0-No / Off. Byte - is equal to 8 Bits. A Byte can represent 256 states of information (0 to 255). For example: numbers or a combination of numbers and letters. 1 Byte could be equal to one character.
  • 7. Bits on Bytes 0, 1 = bits 1 byte = 8 bits 1 kilobyte (K / Kb) = 1,024 bytes 1 megabyte (M / Mb) = 1024 Kb 1 gigabyte (G / Gb) = 1024 Mb 1 terabyte (T/ Tb) = 1024 Gb 1 petabyte (P/ Pb) = 1024 Tb
  • 8. Common Number Systems System Base Symbols Used by humans? Used in computers? Decimal 10 0, 1, … 9 Yes No Binary 2 0, 1 No Yes Octal 8 0, 1, … 7 No No Hexa- decimal 16 0, 1, … 9, A, B, C, D, E, F No No
  • 9. Quantities/Counting (1 of 3) Decimal Binary Octal Hexa-decimal 0 0 0 0 1 1 1 1 2 10 2 2 3 11 3 3 4 100 4 4 5 101 5 5 6 110 6 6 7 111 7 7
  • 10. Quantities/Counting (2 of 3) Decimal Binary Octal Hexa-decimal 8 1000 10 8 9 1001 11 9 10 1010 12 A 11 1011 13 B 12 1100 14 C 13 1101 15 D 14 1110 16 E 15 1111 17 F
  • 11. Quantities/Counting (3 of 3) Decimal Binary Octal Hexa- decimal 16 10000 20 10 17 10001 21 11 18 10010 22 12 19 10011 23 13 20 10100 24 14 21 10101 25 15 22 10110 26 16 23 10111 27 17
  • 12. Conversion Among Bases  The possibilities: Hexadecimal Decimal Octal Binary
  • 13. Quick Example 2510 = ( )2 Base
  • 14. Quick Example (25)10 = (11001)2 Base
  • 16. Quick Example 35210 = (101100000)2 Base
  • 17. Decimal to Decimal Hexadecimal Decimal Octal Binary Next slide…
  • 18. 12510 => 5 x 100 = 5 2 x 101 = 20 1 x 102 = 100 125 Base Weight
  • 20. Binary to Decimal  Technique  Multiply each bit by 2n, where n is the “weight” of the bit  The weight is the position of the bit, starting from 0 on the right  Add the results
  • 21. Example 1010112 => 1 x 20 = 1 1 x 21 = 2 0 x 22 = 0 1 x 23 = 8 0 x 24 = 0 1 x 25 = 32 4310 Bit “0”
  • 22. Example #1 What is the binary equivalent of the decimal number 14. Or, written with base subscripts: 1410 = 11102
  • 23. Example #2 What is the binary equivalent of the decimal number 87. Or, written with base subscripts: 8710 = (1110101)2
  • 24. Example #3 What is the binary equivalent of the decimal number 156. Or, written with base subscripts: 15610 = 100111002
  • 26. Example #5 What is the binary equivalent of the decimal number 45610 45610= (…………….)2
  • 27. Example #6 What is the decimal equivalent of the binary number 74310 74310 = (………………….) 2
  • 28. Example #7 What is the decimal equivalent of the binary number 1001012 Or, written with base subscripts: 1001012 = (………)10
  • 29. Example #8 What is the decimal equivalent of the binary number 110010112 Or, written with base subscripts: 110010112 = ??