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Data / Number / Computer Science Tools

Binary to Decimal Converter

Convert a binary number to its exact decimal value, with the place-value calculation shown.

Enter a binary number below - this tool converts it to decimal exactly, showing the place-value breakdown.

For the reverse direction, see the Decimal to Binary Converter - or the Number Base Converter for other bases.

How Binary-to-Decimal Conversion Works

Each binary digit represents a power of 2 based on its position (rightmost = 2^0, next = 2^1, and so on) - the decimal value is the sum of the powers of 2 where a binary digit is 1.

How to Use It

  1. Enter a binary number (digits 0 and 1 only).
  2. The decimal equivalent and place-value breakdown appear instantly.

Limitations

This handles arbitrarily large binary integers accurately using BigInt - there's no binary-point/fraction support, since fractional binary values require a different (and less standardized) interpretation.

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