# Octal

<mathematics> Base 8.

A number representation using the digits 0-7 only, with the right-most digit counting ones, the next counting multiples of 8, then 8^2 = 64, etc.

For example, octal 177 is digital 127:

digit

weight

value 1

8^2 = 64

1* 64 = 64 7

8^1 =

8

7*

8 = 56 7

8^0 =

1

7*

1 =

7 --- 127

Octal system used to be widespread back when many computers used 6-bit bytes, as a 6-bit byte can be conveniently written as a two-digit octal number.

Since nowadays a byte is almost always 8-bit long the octal system lost most of its appeal to the hexadecimal system.

For a brief discussion on the word `octal' see hexadecimal.

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