Binary, Hexadecimal, Octal, and BCD Numbers

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Presentation transcript:

Binary, Hexadecimal, Octal, and BCD Numbers 23 Binary, Hexadecimal, Octal, and BCD Numbers Click on the Computer Image at the bottom right for a direct web link to Wikipedia Math. Prepared by: Midori Kobayashi Humber College

23.1 - the binary number system

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

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

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

23.1-EXAMPLE 9 Multiply 0.546875 by 2 0.546875 Integer Part  2 1.09375 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

23.2 - The Hexadecimal Number System

23.2-EXAMPLE 14 23.2-Hexadecimal Number System

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

23.2-EXAMPLE 18 Read up 23.2-Hexadecimal Number System

23.3 - The Octal Number System

23.3-EXAMPLE 19 23.3-The Octal Number System

23.3-EXAMPLE 20 23.3-The Octal Number System

23.4 - BCD Codes 23.4-BCD Codes

23.4-EXAMPLE 21 23.4-BCD Codes

23.4-EXAMPLE 22 23.4-BCD Codes

23.4-EXAMPLE 23 23.4-BCD Codes

Copyright