Number Base Converter – Any Base 2 to 36

This tool converts a single input into every base from 2 to 36 simultaneously. The decimal number 255 becomes 11111111₂ (eight ones), FF₁₆ (15×16+15) and 377₈ (3×64+7×8+7) in one pass. Digits above 9 borrow letters: A=10 through Z=35, so base-36 packs two characters per ~5.17 bits. Conversions into decimal use positional expansion — 2F₁₆ = 2×16+15 = 47 — while conversions out of decimal use repeated division: 255 ÷ 16 = 15 r15, and both 15s read as F. The tool validates digits against the chosen base (9 is illegal in octal, G in hex), shows the division ladder for the target base, and includes quick bit-grouping hints: three binary digits per octal digit, four per hex digit. Table output for bases 2, 8, 10 and 16 is highlighted for programming work.

1. 1

   Type your number

   Any base 2–36, with digits 0–9 and A–Z

2. 2

   Pick the input base

   Or let the tool infer binary/hex from the pattern

3. 3

   Convert to decimal

   Positional expansion Σ dᵢ·bⁱ is displayed

4. 4

   Fan out to all bases

   Every base 2–36 result updates, with division ladders

• 1

  Base b digits never reach b: octal stops at 7, hex at F

• 2

  255 = FF₁₆ because 15×16 + 15 = 255

• 3

  Letters as digits: A=10 … Z=35 covers base 36 fully

• Using digit 8 in octal or G in hexadecimal — invalid for the base

• Reading positional weights left-to-right as increasing; they grow right-to-left

• Forgetting A–F carry values: F = 15, not a letter to skip

• Mixing 0x prefixes into manual arithmetic