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Binary Code
The Language of Your Computer
Input/Output
Input is whatever is put into a computer.
Input can be data, letters, numbers, symbols, shapes,
sounds, press...
The Binary System
The base of all programs is the binary system, a
number system of two - 1 and 0.
These represent On and ...
Decimal System
To understand the binary system, we need to review
our Base 10, decimal system.
The prefix “dec-” means 10
...
For example:
When you count in the
decimal system (base 10)
you fill the one’s place, then
move to the ten’s place.
Only t...
Counting in Binary (Base 2)
The prefix “bi-” means two.
The binary system uses only two numbers - 0 and 1.
We count in the...
Counting in Binary
0
1
1 0
1 1
1 0 0
1 0 1
1 1 0
1 1 1
1 0 0 0
Do you see a
pattern?
Counting in Binary
64’s 32’s 16’s 8’s 4’s 2’s 1’s
0
1
1 0
1 1
1 0 0
1 0 1
1 1 0
1 1 1
1 0 0 0
Each place
value is 2x the
p...
Counting in Binary
64’s 32’s 16’s 8’s 4’s 2’s 1’s
0
1
1 0
1 1
1 0 0
1 0 1
1 1 0
1 1 1
1 0 0 0
110 = 6
one 4, one 2 = 6
100...
Counting in Binary
64’s 32’s 16’s 8’s 4’s 2’s 1’s
1 0 1 0 0 1
What is this
binary
number?
Counting in Binary
64’s 32’s 16’s 8’s 4’s 2’s 1’s
1 0 1 0 0 1
(32) + (0) + (8) + (0) + (0) + 1=
Determine the
place values...
Try
counting
to 20.
Counting to 20 in binary
Binary Decimal
1 1
10 2
11 3
100 4
101 5
110 6
111 7
1000 8
1001 9
1010 10
Bi...
Bits and Bytes
Bit - In the binary system, each 0 or 1 is called a bit -
short for binary digit.
Byte - A group of eight b...
The alphabet in binary
Binary Alphabet
O11OOOO1 a
O11OOO1O b
O11OOO11 c
O11OO1OO d
O11OO1O1 e
O11OO11O f
O11OO111 g
O11O1O...
Can you read this?
O11O1OOO_O11O1OO1
Binary code is the base code of computer
language.
Once you understand the patterns a...
Sources
Adapted from, Using Information Technology,
Williams/Sawyer
Additional Teaching Links
Text to Binary and Back Again
http://www.roubaixinteractive.com/PlayGround/Binary_Conversion/Bin...
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Binary code - Beginning

This is a powerpoint to help students learn a little about binary code. Learn to count in binary and learn how the alphabet is coded in binary.

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Binary code - Beginning

  1. 1. Binary Code The Language of Your Computer
  2. 2. Input/Output Input is whatever is put into a computer. Input can be data, letters, numbers, symbols, shapes, sounds, pressure, light beams or whatever material needs processing. Output hardware consists of devices that translate information processed by the computer into a form humans can understand - print, sound, graphics, or video, for example.
  3. 3. The Binary System The base of all programs is the binary system, a number system of two - 1 and 0. These represent On and Off - the position for an electrical signal to pass through (or not) a transistor. All data and program instructions that go into the computer to be processed and stored, are represented by these binary numbers.
  4. 4. Decimal System To understand the binary system, we need to review our Base 10, decimal system. The prefix “dec-” means 10 Our decimal system is based on 10 numbers (0,1,2,3,4,5,6,7,8,9) When counting, using place value, we fill the ones place and then move to the tens place.
  5. 5. For example: When you count in the decimal system (base 10) you fill the one’s place, then move to the ten’s place. Only the numbers 0 - 9 are used. As each place value is filled with the numbers, we continue to the next place value. Each place value is 10x the previous place. 10’s 1’s 9 1 0 1 1 1 2 1 3 100’s 10’s 1’s 9 9 1 0 0 1 0 1
  6. 6. Counting in Binary (Base 2) The prefix “bi-” means two. The binary system uses only two numbers - 0 and 1. We count in the binary system the same as in the decimal system by filling in the place values and moving up the place value chart. If the decimal system, base 10 has place values 10x the previous place - How do you think the place values for the binary system are determined?
  7. 7. Counting in Binary 0 1 1 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 Do you see a pattern?
  8. 8. Counting in Binary 64’s 32’s 16’s 8’s 4’s 2’s 1’s 0 1 1 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 Each place value is 2x the previous place. Decima l 0 1 2 3 4 5 6 7 8
  9. 9. Counting in Binary 64’s 32’s 16’s 8’s 4’s 2’s 1’s 0 1 1 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 0 0 0 110 = 6 one 4, one 2 = 6 1000 = 8 one 8 Decima l 0 1 2 3 4 5 6 7 8
  10. 10. Counting in Binary 64’s 32’s 16’s 8’s 4’s 2’s 1’s 1 0 1 0 0 1 What is this binary number?
  11. 11. Counting in Binary 64’s 32’s 16’s 8’s 4’s 2’s 1’s 1 0 1 0 0 1 (32) + (0) + (8) + (0) + (0) + 1= Determine the place values and add them together. 41
  12. 12. Try counting to 20. Counting to 20 in binary Binary Decimal 1 1 10 2 11 3 100 4 101 5 110 6 111 7 1000 8 1001 9 1010 10 Binary Decimal 1011 11 1100 12 1101 13 1110 14 1111 15 10000 16 10001 17 10010 18 10011 19 10100 20
  13. 13. Bits and Bytes Bit - In the binary system, each 0 or 1 is called a bit - short for binary digit. Byte - A group of eight bits. The letter “G” is a representation of 1 byte (eight bits). There are 256 combinations of bits available 28=256
  14. 14. The alphabet in binary Binary Alphabet O11OOOO1 a O11OOO1O b O11OOO11 c O11OO1OO d O11OO1O1 e O11OO11O f O11OO111 g O11O1OOO h O11O1OO1 i
  15. 15. Can you read this? O11O1OOO_O11O1OO1 Binary code is the base code of computer language. Once you understand the patterns and the rules, you can learn other programming languages. Have fun coding!
  16. 16. Sources Adapted from, Using Information Technology, Williams/Sawyer
  17. 17. Additional Teaching Links Text to Binary and Back Again http://www.roubaixinteractive.com/PlayGround/Binary_Conversion/Binary_To_Text.a sp The Alphabet in Binary http://www.tekmom.com/buzzwords/binaryalphabet.html Cisco Binary Game http://forums.cisco.com/CertCom/game/binary_game_page.htm http://www.networkclue.com/hardware/computer/binary.aspx http://en.wikipedia.org/wiki/Binary_numeral_system

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This is a powerpoint to help students learn a little about binary code. Learn to count in binary and learn how the alphabet is coded in binary.

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