A commonly used positional system is the Octal System. The octal system has a base of 8. The values
increase from left to right as 1, 8, 64, 512, 4096, …. The decimal value of an octal number 1234 can be
computed as :
= (1 * 512) + (2 * 64) + (3 * 8) + (4 * 1)
= 512 + 128 + 24 + 4
= 668
To convert a number from binary to octal and vice-versa, the following table must be kept in mind :
Binary Octal
000 0
001 1
010 2
011 3
100 4
101 5
110 6
111 7
= (1 * 512) + (2 * 64) + (3 * 8) + (4 * 1)
= 512 + 128 + 24 + 4
= 668
To convert a number from binary to octal and vice-versa, the following table must be kept in mind :
Binary Octal
000 0
001 1
010 2
011 3
100 4
101 5
110 6
111 7
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