Number Base Converter

Convert between binary, decimal, hex, octal

Convert
Result
FF
Binary
11111111
Octal
377
Decimal
255
Hex
FF

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How Number Base Conversion Works

Number base conversion changes how a value is represented across different numeral systems. Binary (base-2) uses 0-1, octal (base-8) uses 0-7, decimal (base-10) uses 0-9, hexadecimal (base-16) uses 0-9 and A-F. Our converter uses modular arithmetic for accurate conversion between any bases.

Frequently Asked Questions

Why do computers use binary?
Computers use binary (base-2) because transistors have two states: on (1) and off (0). It's the most reliable way to represent data electronically.
What's hexadecimal used for?
Hex is used in programming for memory addresses, color codes (#FF5733), MAC addresses, and debugging. It's more compact than binary but still easy to convert.
How do I convert from any base to decimal?
Multiply each digit by its base raised to the position power (from right, starting at 0). Sum all values. Our converter does this instantly.