Number Base Converter

Convert numbers between different number systems including binary, decimal, hexadecimal, and octal. Perfect for programming, computer science, and digital electronics.

About Number Systems

Different number systems are used in computing and mathematics to represent numbers in various ways. Each system has its own base and uses different symbols to represent values.

Common Number Systems

Binary (Base-2)

  • Uses only 0 and 1
  • Fundamental to computer systems
  • Each digit represents a power of 2
  • Example: 1010 = 10 (decimal)

Decimal (Base-10)

  • Uses digits 0-9
  • Standard number system for everyday use
  • Each digit represents a power of 10
  • Example: 42 = 101010 (binary)

Hexadecimal (Base-16)

  • Uses digits 0-9 and letters A-F
  • Common in programming and memory addresses
  • Each digit represents a power of 16
  • Example: 2A = 42 (decimal)

Octal (Base-8)

  • Uses digits 0-7
  • Historical use in computing
  • Each digit represents a power of 8
  • Example: 52 = 42 (decimal)

Common Uses

Binary

  • Computer memory
  • Digital logic
  • Machine code
  • Network protocols

Hexadecimal

  • Color codes
  • Memory addresses
  • Assembly language
  • Debugging

Octal

  • File permissions (Unix)
  • Legacy systems
  • Some embedded systems