Base-N Converter (2-36)

About this calculator

A number's base (or radix) determines how many distinct digits it uses and what each position in the number is worth: base 10 (decimal) uses digits 0-9 with each place worth a power of ten, base 2 (binary) uses only 0 and 1 with each place worth a power of two, and base 16 (hexadecimal) uses 0-9 plus A-F with each place worth a power of sixteen. Any whole number can be represented in any base from 2 up to 36 by using digits 0-9 followed by letters A-Z to stand in for values 10 through 35.

Programmers convert to binary and hexadecimal constantly — binary maps directly onto how bits are stored in memory, while hex is a compact, human-readable way to write byte values, colors (like #FF5733) and memory addresses. Base 36 is popular for generating short, case-insensitive identifiers such as URL shorteners or order codes, since it packs more information into fewer characters than decimal. Mathematicians and computer science students also use less common bases like 3 or 7 to study positional number systems and algorithms such as repeated division-and-remainder conversion.

This calculator takes a decimal number and converts it into any base you choose between 2 and 36, showing the digit sequence produced by that repeated division method.