Number Base Converter

A number base (or radix) is the number of unique digits used to represent numbers in a positional numeral system. The most common bases are:

• Decimal (base-10) — Uses digits 0–9. The standard system used in everyday life.
• Binary (base-2) — Uses digits 0 and 1. The native language of computers.
• Octal (base-8) — Uses digits 0–7. Commonly used in Unix file permissions.
• Hexadecimal (base-16) — Uses digits 0–9 and letters A–F. Used for memory addresses, color codes, and hashes.

Each position in a number represents a power of the base. For example, in decimal, the number 255 means 2×10² + 5×10¹ + 5×10⁰. In binary, the same value is 11111111 (1×2⁷ + 1×2⁶ + ... + 1×2⁰).

1. Select input base — Choose the base of the number you are entering (Decimal, Binary, Octal, or Hexadecimal).
2. Type a number — Enter the value in the input field. The tool validates digits are valid for the selected base.
3. View conversions — All four bases update in real-time as you type.
4. Expand the steps — Read the step-by-step calculation below the results to understand how the conversion works.
5. Copy results — Click the copy icon next to any base to copy that value to your clipboard.