Number bases (radixes) are the foundation of how we represent quantities. While we typically use base-10 (decimal), computers use base-2 (binary), and programmers frequently use base-8 (octal) and base-16 (hexadecimal). This converter handles any base from 2 to 36, using digits 0-9 and letters A-Z for values above 9.
How to Use
Enter a number, select its base, then choose the target base:
- Input base: The base of your source number (2-36)
- Output base: The base to convert to (2-36)
- Quick presets: Binary(2), Octal(8), Decimal(10), Hex(16)
Common Number Bases
- Binary (2): 0 and 1 — used in all digital electronics
- Octal (8): 0-7 — Unix file permissions
- Decimal (10): 0-9 — everyday counting
- Hexadecimal (16): 0-F — colors, memory addresses
- Base-36: 0-Z — compact encoding (used in URL shorteners)
How Base Conversion Works
To convert from base B to decimal: multiply each digit by B^position and sum. To convert from decimal to base B: repeatedly divide by B and collect remainders in reverse order.
Step-by-Step Instructions
- 1Enter a number in the input field.
- 2Select the source base (2-36).
- 3Select the target base (2-36).
- 4View the converted result instantly.
- 5Study the step-by-step breakdown.