Base 10 to base 2

Convert Decimal to Binary

Convert base 10 values to base 2. Integers remain exact even when they exceed JavaScript's ordinary safe-number limit.

Number From base

Result

101010

To base

42₁₀ = 101010₂

Same value in common bases

Base	Value

Method

How to convert base 10 to base 2

Each decimal digit is evaluated by its power of 10. The exact value is then repeatedly divided by 2 to produce the destination digits.

value₁₀ = sum(digit x 10^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

Decimal to Binary table

Decimal (base 10)	Binary (base 2)
1	1
2	10
10	1010
42	101010
100	1100100
255	11111111
1024	10000000000

Continue converting

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