Use the below conversion tool to convert a binary number to octal number:

 Binary Number Octal Number

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## Binary number

Binary numbering system uses only two symbols 0 and 1. Each digits of a binary number is referred to as bits. Binary system is also known as base -2 system. Each digit is represented by the increasing power of 2 from the LSB (Least Significant Bit). Binary system is the heart of digital electronics and is used for information flow. In digital electronics, 0 and 1 are used to denote logic states, high and low. Arithmetic operations are also possible in binary system.

## Octal Number

Octal numbers use digits from 0-7 only. It is known as base-8 number. The place value of each digits of an octal number varies as the whole number powers of 8 starting from the right (Least Significant Digit). The first single digit number in octal system is 0 and the last is 7. Similarly, the first two digit octal number is 10 and the last is 77 and so on. Octal number system was widely used in early computers.

## Binary to octal conversion table

Binary NumberOctal NumberDecimal Number
00000
00111
01022
01133
10044
10155
11066
11177
001000108
001001119
0010101210

## Example-1: Convert 1111102 to Octal number

Split the binary number to a bits of three starting from the right.

111 110

From the above conversion table:

 Binary number 111 110 Octal number 7 6

Hence, 1111102 in its binary form is equivalent to 76

## Example-2: Convert 11011102 to Octal number

Split the binary number to a bits of three starting from the right.

001 101 110

From the above conversion table:

 Binary number 001 101 110 Octal number 1 5 6

Hence, 11011102 in its binary form is equivalent to 156.

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