How does the Number Base Converter work?

To decimal: digit × base^position, summed Then: From decimal: repeatedly divide by base, collect remainders Then: Each hex digit = exactly 4 binary bits.

Can you give an example of how to use the Number Base Converter?

Example: Input Binary 11111111 gives a result of Decimal 255 · Hex FF · Octal 377 (255 = 2⁸ − 1).

Is the Number Base Converter free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Number Base Converter?

Our Number Base Converter uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

Toán học

Number Base Converter

Positional number systems use a base (radix). Base 10 (decimal): 0–9; Base 2 (binary): 0–1; Base 16 (hexadecimal): 0–9 and A–F. Computers operate in binary; hex is shorthand for binary in programming.

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Did You Know?

Computers use binary because electronics only need two states: on/off — far simpler to engineer than the 10 states needed for decimal.

References

›Numeral system — Wikipedia

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Binary, Decimal, and Hexadecimal: How to Convert Between Number Systems

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