Library/Arithmetic/Number systems/Binary number system

Binary number system

Overview
Important

The binary number system is a positional numeral system with base 2. Each digit in a binary number represents a power of 2, with the rightmost digit representing 202^0, the next 212^1, and so on.

Important properties

  • Only two digits are used: 0 and 1.

  • Each position represents a different power of 2.

  • Binary numbers can be converted to decimal by summing the products of each digit and its corresponding power of 2.

  • Binary is the basis for how computers represent and process data.