Number bases represent values using different digit sets. Decimal (base 10): 0-9. Binary (base 2): 0-1. Octal (base 8): 0-7. Hex (base 16): 0-9, A-F. To convert: repeatedly divide by target base and collect remainders, or multiply each digit by its positional value.
How to Use
Enter a number and its base:
- Input: Number in source base
- From/To: Select base
- Result: All bases shown
Common Bases
- Binary (2): Computers use this
- Octal (8): Unix file permissions
- Decimal (10): Human counting
- Hex (16): Colors, memory addresses
Conversion Method
To convert decimal → base N: divide by N, write remainder. Repeat until quotient is 0. Read remainders bottom-to-up. To convert base N → decimal: multiply each digit by N^position and sum.
Step-by-Step Instructions
- 1Enter a number.
- 2Select the input base.
- 3View conversions to all bases.
- 4Check the step-by-step breakdown.
- 5Try a custom base.