Decimal to Binary
Decimal (dec)
Binary (bin)
How it is calculated
The number is first converted to decimal as digits × radixⁿ, then to the selected base by division with remainder. Prefixes 0x, 0b, 0o and digit grouping with spaces or _ are allowed.
dec: digits 0 1 2 3 4 5 6 7 8 9, radix 10
bin: digits 0 1, radix 2
255 ÷ 2 = 127 remainder 1 (1)
127 ÷ 2 = 63 remainder 1 (1)
63 ÷ 2 = 31 remainder 1 (1)
31 ÷ 2 = 15 remainder 1 (1)
15 ÷ 2 = 7 remainder 1 (1)
7 ÷ 2 = 3 remainder 1 (1)
3 ÷ 2 = 1 remainder 1 (1)
1 ÷ 2 = 0 remainder 1 (1)
255₁₀ = 11111111₂