F451 Expressing Numbers in Binary, BCD, Octal & Hexadecimal

Here is a PDF I made which shows you how to express numbers to various bases. Hope it helps

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  • Created by: Jonathan
  • Created on: 23-05-12 13:37
Preview of F451 Expressing Numbers in Binary, BCD, Octal & Hexadecimal

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Expressing numbers in Binary, Binary Coded Decimal (BCD), Octal and Hexadecimal:
Binary is base 2
Each bit is either a 1 or a 0 there are 8bits in a byte
128 64 32 16 8 4 2 1 16 + 4 + 1 = 21
0 0 0 1 0 1 0 1
Binary Coded Decimal (BCD) is also base 2, each digit is represented by 4 bits of data
0 0000 0001 0101 0111 = 157
1 0001
2 0010
3 0011
4 0100
5 0101
6 0110
7 0111
8 1000
9 1001
Octal is base 8
64 8 1 = (64*1) + (8*2) + (1*6) = 86
1 2 6
Hexadecimal is base 16, letters are also used as 16 cannot be reached while using single digits i.e. 0-9
A 10
B 11
C 12
D 13
E 14
F 15
256 16 1 = (256*0) + (16*2) + (13*1) = 45
0 2 D

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