How to convert Decimal to Binary

Conversion factor and calculation steps from Decimal (dec) to Binary (bin).

Conversion logic

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