Base 8 to base 2

Convert Octal to Binary

Convert base 8 values to base 2. Integers remain exact even when they exceed JavaScript's ordinary safe-number limit.

Number From base

Result

101010

To base

52₈ = 101010₂

Same value in common bases

Base	Value

Method

How to convert base 8 to base 2

Each octal digit is evaluated by its power of 8. The exact value is then repeatedly divided by 2 to produce the destination digits.

value₁₀ = sum(digit x 8^position)

For fractional digits, the converter keeps an exact rational numerator and denominator, then generates up to 32 destination digits. An ellipsis marks a repeating or longer expansion.

Examples

Octal to Binary table

Octal (base 8)	Binary (base 2)
1	1
2	10
12	1010
52	101010
144	1100100
377	11111111
2000	10000000000

Continue converting

Binary to OctalReverse conversion Binary to decimalBase 2 to base 10 Decimal to hexadecimalBase 10 to base 16