1. Binary, Hexadecimal, Octal, and BCD Numbers23
Binary, Hexadecimal, Octal, and BCD Numbers
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Prepared by: Midori Kobayashi Humber College

2. 23.1 - the binary number system

3. 23.1-EXAMPLE 4
23.1-The Binary Number System
Expanded notation

4. 23.1-EXAMPLE
extra 23 22 21 20
23.1-The Binary Number System

5. 23.1-EXAMPLE 8
Divide 59 by 2 2 59
Remainder 1 2 29
(59  2 = r 1) 1 2 14
(29  2 = r 1) 2 7
(14  2 = r 0) 2 3 1
( 7  2 = r 1)
Read up 2 1
( 3  2 = r 1) 1
23.1-The Binary Number System
( 1  2 = r 1) 1

6. 23.1-EXAMPLE 9
Multiply by 2
Integer Part  2 1 2 
0.1875  2
0.375
Read Down
23.1-The Binary Number System  2
0.75 2 
1.50 1  2
1.00
Stop! 1

7. 23.2 - The Hexadecimal Number System

8. 23.2-EXAMPLE 14
23.2-Hexadecimal Number System

9. 23.2-EXAMPLE
extra 23 22 21 20
23.2-Hexadecimal Number System

10. 23.2-EXAMPLE 18
Read up
23.2-Hexadecimal Number System

11. 23.3 - The Octal Number System

12. 23.3-EXAMPLE 19
23.3-The Octal Number System

13. 23.3-EXAMPLE 20
23.3-The Octal Number System

14. BCD Codes
23.4-BCD Codes

15. 23.4-EXAMPLE 21
23.4-BCD Codes

16. 23.4-EXAMPLE 22
23.4-BCD Codes

17. 23.4-EXAMPLE 23
23.4-BCD Codes

18. Copyright