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Binary to Decimal Converter

Convert binary (base-2) numbers back to decimal (base-10).

Try an example:
Binary (2)
11111111
Octal (8)
377
Decimal (10)
255
Hexadecimal (16)
ff

Converting Binary to Decimal

Converting binary to decimal turns a string of 0s and 1s back into an everyday base-10 number.

How to convert Binary to Decimal by hand

  1. Number the bits from right to left, starting at 0.
  2. For every bit that is 1, take its place value (1, 2, 4, 8, 16, …).
  3. Add those place values together — the sum is the decimal number.

Worked example

1101 (binary) → 13 (decimal) — 8 + 4 + 0 + 1 = 13.

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Frequently asked questions

How do I convert Binary to Decimal?

Number the bits from right to left, starting at 0. For every bit that is 1, take its place value (1, 2, 4, 8, 16, …). Add those place values together — the sum is the decimal number. Or just use the converter on this page — it does it instantly. Example: 1101 (binary) becomes 13 (decimal).

What is 1101 (binary) in decimal?

1101 (binary) converts to 13 (decimal). 8 + 4 + 0 + 1 = 13.

Is this converter free and private?

Yes — it is free and unlimited, and the conversion runs entirely in your browser, so nothing is uploaded to a server.