Number Base Converter
Convert numbers between binary, octal, decimal, and hexadecimal.
Supports bases 2 through 36.
Conversion Results
Number bases (or radixes) determine how many unique digits are used to represent numbers.
Common bases:
- Binary (Base 2): Uses 0 and 1. Used in computers.
- Octal (Base 8): Uses 0–7. Used in Unix file permissions.
- Decimal (Base 10): Uses 0–9. Standard human counting.
- Hexadecimal (Base 16): Uses 0–9 and A–F. Used in colors and memory addresses.
How base conversion works (decimal 42 to binary):
- 42 ÷ 2 = 21 remainder 0
- 21 ÷ 2 = 10 remainder 1
- 10 ÷ 2 = 5 remainder 0
- 5 ÷ 2 = 2 remainder 1
- 2 ÷ 2 = 1 remainder 0
- 1 ÷ 2 = 0 remainder 1
- Read remainders bottom-up: 101010
Examples:
| Decimal | Binary | Octal | Hex |
|---|---|---|---|
| 10 | 1010 | 12 | A |
| 42 | 101010 | 52 | 2A |
| 255 | 11111111 | 377 | FF |