what is the binary number system

The binary number system is a way of representing numbers using only two symbols, typically "0" and "1". It is a positional notation system with a radix of 2, meaning that each digit is referred to as a bit or binary digit, and represents an increasing power of 2, with the rightmost bit representing 2^0, the next representing 2^1, then 2^2, and so on. The value of a binary number is the sum of the powers of 2 represented by each "1" bit. For example, the binary number 100101 is converted to decimal form as follows: 1001012 = . The binary system is used by almost all modern computers and computer-based devices because of its straightforward implementation in digital electronic circuitry using logic gates.