math

Binary Number

A number expressed in base-2 using only the digits 0 and 1, fundamental to computer science and digital electronics.

The binary number system (base-2) uses only 0 and 1. Every digital device β€” from smartphones to supercomputers β€” processes data as binary.

Conversion

Binary 1011 = 1Γ—2Β³ + 0Γ—2Β² + 1Γ—2ΒΉ + 1Γ—2⁰ = 8 + 0 + 2 + 1 = 11 in decimal.

Related Bases

  • Octal (base-8): Groups of 3 binary digits
  • Hexadecimal (base-16): Groups of 4 binary digits, uses 0–9 and A–F

Binary Arithmetic

0+0=0, 0+1=1, 1+0=1, 1+1=10 (carry 1). Same logical rules for multiplication.

Related Calculators

Related Terms