Binary to Octal Conversion
It is easy to convert from an integer binary number to octal. This is accomplished by:

Break the binary number into 3-bit sections from the LSB to the MSB.
Convert the 3-bit binary number to its octal equivalent.

For example, the binary value 1010111110110010 will be written:

001	010	111	110	110	010
1	2	7	6	6	2

Octal to Binary Conversion
It is also easy to convert from an integer octal number to binary. This is accomplished by:

Convert the decimal number to its 3-bit binary equivalent.
Combine the 3-bit sections by removing the spaces.

For example, the octal value 127662 will be written:

1	2	7	6	6	2
001	010	111	110	110	010

This yields the binary number 001010111110110010 or 00 1010 1111 1011 0010 in our more readable format.

The octal number system has a base of eight, meaning that it has eight possible digits: 0,1,2,3,4,5,6,7.

Octal to Decimal Conversion

eg. 24.6₈ = 2 x (8¹) + 4 x (8⁰) + 6 x (8^-1) = 20.75₁₀

Binary-To-Octal / Octal-To-Binary Conversion

Octal Digit	0	1	2	3	4	5	6	7
Binary Equivalent	000	001	010	011	100	101	110	111

Each Octal digit is represented by three bits of binary digit.

eg. 100 111 010₂ = (100) (111) (010)₂ = 4 7 2₈

Repeat Division
This method uses repeated division by 8. Eg. convert 177₁₀ to octal and binary: