Octal to Binary Number Converter

Convert between binary and octal numbering systems using the converter below. Enter either binary or octal numbers, and instantly convert them to the other system. You can also discover the binary equivalents of octal numbers ranging from "0" to "7" in the octal to binary table.

octal to binary table ←→

octal 0 1 2 3 4 5 6 7
binary 000 001 010 011 100 101 110 111
Enter Octal
Enter Binary

Below, you may find information for how to convert from octal to binary and how to convert from binary to octal, including example conversions.

How to convert octal to binary?

To convert octal to binary (base-8 to base-2), replace each individual octal digit with its binary equivalent and combine. These are the steps to convert from octal to binary:

1 - Separate the octal digits.

2 - Get the binary equivalent of the octal digits.

3 - Combine the binary digits into a single string.

4 - Delete any zeros at the beginning of the binary number before the first "1".

For example, these are the steps to convert octal number "267" to binary:

Octal digits are 2, 6 and 7

267 = (2 = 010) (6 = 110) (7 = 111)

267 = 010 110 111

267 = 10110111

Please visit base converter to convert between all number bases.

How to convert binary to octal?

To convert from binary to octal, working from right to left, replace the group of three binary digits with their octal equivalent. Here is the step by step conversion from binary to octal:

1 - Starting from the last binary digit to the first (from right to left), split the binary number into groups of three binary digits.

2 - For each of the binary groups, get the octal equivalent.

3 - If the first binary group is less than three binary digits, add "0" at the beginning of that group.

4 - Combine the octal digits into a single string.

For example, these are the steps to convert binary number "1110111001" to octal:

1110111001 = 1 110 111 001

1110111001 = 001 110 111 001

1110111001 = 1 6 7 1

1110111001 = 1671

What is Octal Numeral System?

Octal system is a base-8 numeral system that uses 8 symbols (0,1,2,3,4,5,6,7) to represent values from 0 to 7.

The octal numeral system is mostly used in computing to represent binary numbers in a friendly way. Each of the symbols in octal numbers are the representation of three binary bits.

To convert between decimal and octal numbers, please visit decimal to octal converter.

What is Binary Numeral System?

Binary system is base-2 numeral system that uses only "1" and "0" to represent any number.

To convert between hex and binary numbers, please visit hex to binary converter.