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Decimal to Binary Converter

Convert numbers between binary, octal, decimal and hexadecimal — arbitrary size, entirely in your browser.

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Validating digits
Converting between bases
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Result

This page opens the number base converter preconfigured to translate decimal (base 10) numbers into binary (base 2) — enter a regular number and run it.

The classic method is repeated division by two, collecting the remainders: 13 ÷ 2 leaves 1, 6 ÷ 2 leaves 0, 3 ÷ 2 leaves 1, 1 ÷ 2 leaves 1 — read the remainders backwards and 13 becomes 1101.

Need another direction? The full converter handles binary, octal, decimal and hexadecimal both ways, shows the value in all four bases and, thanks to BigInt, takes numbers of any length — all computed privately in your browser.

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Executed in Browser

Your files and inputs never leave this device. Processing runs completely offline. 100% Secure.

Accepted Formats & Rules

  • Converts between base 2, 8, 10 and 16 in any direction.
  • Validates every digit against the source base and points out the offending character.
  • Accepts lowercase or uppercase hex digits, spaces and underscore separators.

Key Benefits

✓ Handles numbers of any length thanks to BigInt arithmetic — no 32-bit or 53-bit overflow, ever.
✓ Shows the converted value together with a breakdown in all four bases at once.
✓ Runs entirely in your browser: the values you convert are never uploaded anywhere.

Use Cases

  • • Translate a binary bit mask or register value into decimal while debugging code.
  • • Turn a decimal number into hex for a color value, memory address or protocol field.
  • • Check homework answers on positional number systems with exact, unlimited-size arithmetic.