How to convert Hexadecimal to Octal

Conversion factor and calculation steps from Hexadecimal (hex) to Octal (oct).

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

oct: digits 0 1 2 3 4 5 6 7, radix 8

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

597 ÷ 8 = 74 remainder 5 (5)

74 ÷ 8 = 9 remainder 2 (2)

9 ÷ 8 = 1 remainder 1 (1)

1 ÷ 8 = 0 remainder 1 (1)

255₁₆ = 1125₈