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Binary to Decimal Converter

Convert binary numbers (base-2) to decimal numbers (base-10) with this simple online tool.

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How to Use This Tool

  1. Enter the Binary to Decimal Converter input in the field on the page.
  2. Click "Convert" to run the tool in your browser.
  3. Read the result below the form and copy it if you need it in another app.

Learn More About Binary to Decimal Converter

Binary and Decimal Number Systems

The binary number system is a base-2 system, using only two digits: 0 and 1. Each position in a binary number represents a power of 2. The decimal number system is a base-10 system, using digits from 0 to 9.

Example

Binary: 1010

Decimal: (1 2^3) + (0 2^2) + (1 2^1) + (0 2^0) = 8 + 0 + 2 + 0 = 10

About

Convert binary numbers (base-2) to decimal numbers (base-10) with this simple online tool. Each binary digit represents a power of 2, so 1010 equals 8+0+2+0 = 10 in decimal. Just enter a binary string of 0s and 1s, and the converter will instantly display its decimal equivalent. This tool handles arbitrarily long binary strings and is essential for reverse-engineering binary data, debugging bit manipulation code, or learning computer arithmetic.

Examples

Valid binary

Binary number
Input
101010
Output
42

Zero

Binary number
Input
0
Output
0

Use Cases

  • Computer science education and learning binary number systems
  • Software development and debugging
  • Digital electronics projects
  • Understanding data representation in computers

Frequently Asked Questions