Binary to Decimal Converter

Quickly convert between binary and decimal number systems

How to Convert Binary to Decimal

  1. Enter a binary number (containing only 0s and 1s)
  2. Click "Convert to Decimal"
  3. View the decimal equivalent
  4. Or enter a decimal number to convert to binary

Binary Number System Basics

The binary system is a base-2 number system that uses only two digits: 0 and 1. Each digit in a binary number represents a power of 2.

Common Binary to Decimal Conversions

0000

= 0

0001

= 1

0010

= 2

0100

= 4

1000

= 8

1111

= 15

Practical Applications

  • Computer programming and debugging
  • Digital electronics and circuit design
  • Computer science education
  • Network addressing (subnet masks)
  • Data encoding and compression

Conversion Formula

decimal = d0×20 + d1×21 + d2×22 + ...

Where dn is the binary digit at position n

Binary Number Characteristics

  • Base-2 number system
  • Fundamental to all digital systems
  • Each binary digit is called a "bit"
  • 8 bits = 1 byte (can represent 256 values)