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Question 7.5: Converting Octal and Hexadecimal Numbers to Binary Convert t...

Converting Octal and Hexadecimal Numbers to Binary
Convert the numbers 317.28 and F3A.216 to binary.

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We simply use Table 7.1 to replace each digit by its binary equivalent. Thus, we have

317.28 = 011 001 111. 0102 = 011001111.0102

and

F3A.216 = 1111 0011 1010. 0010 = 111100111010.00102

Table 7.1. Symbols for Octal and Hexadecimal Numbers and Their Binary Equivalents

Octal Hexadecimal
0 000 0 0000
1 001 1 0001
2 010 2 0010
3 011 3 0011
4 100 4 0100
5 101 5 0101
6 110 6 0110
7 111 7 0111
8 1000
9 1001
A 1010
B 1011
C 1100
D 1101
E 1110
F 1111

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