Decimal to Binary

Convert decimal numbers to binary format

Number Systems Conversion

We count in base-10 (decimal), but computers use base-2 (binary). This tool converts any decimal number to its binary equivalent.

How It Works

  • Repeatedly divide by 2
  • Track the remainders
  • Read remainders in reverse order

Examples

  • 10 in decimal = 1010 in binary
  • 255 in decimal = 11111111 in binary
  • 1000 in decimal = 1111101000 in binary

Applications

  • Computer science education
  • Understanding bit manipulation
  • Network subnet calculations
  • Digital electronics