Editing Binary number (section)

===Octal===
{{Main|Octal}}
Binary is also easily converted to the [[octal]] numeral system, since octal uses a radix of 8, which is a [[power of two]] (namely, 2<sup>3</sup>, so it takes exactly three binary digits to represent an octal digit). The correspondence between octal and binary numerals is the same as for the first eight digits of [[hexadecimal]] in the table above. Binary 000 is equivalent to the octal digit 0, binary 111 is equivalent to octal 7, and so forth.

{| class="wikitable"  style="text-align:center"
!Octal!!Binary
|-
| 0 || 000
|-
| 1 || 001
|-
| 2 || 010
|-
| 3 || 011
|-
| 4 || 100
|-
| 5 || 101
|-
| 6 || 110
|-
| 7 || 111
|}

Converting from octal to binary proceeds in the same fashion as it does for [[hexadecimal]]:

:65<sub>8</sub> = 110 101<sub>2</sub>
:17<sub>8</sub> = 001 111<sub>2</sub>

And from binary to octal:

:101100<sub>2</sub> = 101 100<sub>2</sub> grouped = 54<sub>8</sub>
:10011<sub>2</sub> = 010 011<sub>2</sub> grouped with padding = 23<sub>8</sub>

And from octal to decimal:

:65<sub>8</sub> = (6 × 8<sup>1</sup>) + (5 × 8<sup>0</sup>) = (6 × 8) + (5 × 1) = 53<sub>10</sub>
:127<sub>8</sub> = (1 × 8<sup>2</sup>) + (2 × 8<sup>1</sup>) + (7 × 8<sup>0</sup>) = (1 × 64) + (2 × 8) + (7 × 1) = 87<sub>10</sub>