Binary to Decimal Converter

Free online binary to decimal converter with steps — instant, accurate binary to decimal conversion in your browser.

Supports arbitrarily large non-negative integers (BigInt under the hood).

About binary to decimal conversion

Number bases are just different ways of writing the same value: binary (base 2) uses digits 0–1, octal (base 8) uses 0–7, decimal (base 10) uses 0–9 and hexadecimal (base 16) uses 0–9 plus A–F. This converter parses your input as an arbitrary-precision integer and re-renders it in the target base — instantly and privately, in your browser.

Quick reference

  • 1010 in binary = 12 in octal = 10 in decimal = A in hexadecimal
  • Hexadecimal digits: A=10, B=11, C=12, D=13, E=14, F=15
  • Each octal digit maps to exactly 3 binary digits; each hex digit maps to exactly 4

Frequently asked questions

How do I convert binary to decimal manually?

Multiply each binary digit by 2 raised to its position power (starting at 0 from the right) and add the results together.

What is binary 101101 in decimal?

101101 in binary equals 45 in decimal.

Is this converter free and private?

Yes — free, no sign-up, and the conversion runs locally in your browser using arbitrary-precision integers. Nothing is uploaded.

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