Number base conversion

Explanation

Interpret the source string as a polynomial in the source radix, then emit digits for the target radix by repeated division. Digits must be valid for the chosen base (e.g. A–F only in hex).

Variables

• source baseradix of the input (2, 8, 10, 16, …)
• target baseradix of the output
• valuethe same non-negative integer in either writing

When to use

Programming, digital logic, and encoding/decoding binary or hex literals.

Use this formula

Related formulas

• Roman numeralsMap Roman symbols (I, V, X, L, C, D, M) with subtractive pairs (IV, IX, XL, …)
• ASCII and Unicode code pointsMap characters to Unicode/ASCII code points (and the reverse)
• IPv4 address formsTreat IPv4 as a 32-bit integer (or dotted octets) and convert between forms