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Binary to Decimal Converter

Fast, accurate browser-based conversion between data representations.

About Binary to Decimal Converter Tool

Published: Last Updated:

Binary to Decimal converts base-2 binary numbers to base-10 decimal integers. Each binary digit (bit) represents a power of 2. This tool shows the conversion calculation step-by-step: each 1 or 0 multiplied by its positional power of 2, then summed.

Key Features

  • Converts binary to decimal with calculation shown.
  • Accepts any length binary string.
  • Also shows hex and octal equivalents.
  • Runs in your browser.

How to Use the Tool

  1. Enter a binary number (0s and 1s only).
  2. The decimal value and conversion steps appear instantly.

Core Benefits

  • Learn positional notation in binary.
  • Verify binary arithmetic in computer architecture studies.

Common Use Cases

  • 1101 → decimal 13 (8+4+0+1).
  • Understanding why 11111111 = 255 (the max single byte value).

Pro Tips

  • Binary 1 = 1, 10 = 2, 11 = 3, 100 = 4, 1000 = 8, 10000 = 16, 11111111 = 255.
  • Positional values: bit 0 = 1, bit 1 = 2, bit 2 = 4, bit 3 = 8, bit 4 = 16...

Use this free Binary to Decimal Converter on GoodToolIt — instant, private, and works in any browser with no sign-up required.

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