How to convert Hexadecimal to Binary

Conversion factor and calculation steps from Hexadecimal (hex) 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.

hex: digits 0 1 2 3 4 5 6 7 8 9 A B C D E F, radix 16

bin: digits 0 1, radix 2

255₁₆ = 2×16₂ + 5×16₁ + 5×16₀ = 512 + 80 + 5 = 597₁₀

255₁₆ = 1001010101₂