Binary number and overflow is repeated for each digit of significance. Counting progresses as follows: Binary counting follows the same procedure, except that only the two symbols "0" and "1" are available. Thus, after a digit reaches 1 in binary, an increment resets it to 0 but also causes an increment of the next digit to the left: In the binary system, each digit represents an increasing power of 2, with the rightmost digit representing 2, the next representing 2, then 2, and so on. The equivalent decimal representation of a binary number is sum of the powers of 2 which each
Binary number British mathematician George Boole published a landmark paper detailing an algebraic system of logic that would become known as Boolean algebra. His logical calculus was to become instrumental in the design of digital electronic circuitry. In 1937, Claude Shannon produced his master's thesis at MIT that implemented Boolean algebra and binary arithmetic using electronic relays and switches for the first time in history. Entitled "A Symbolic Analysis of Relay and Switching Circuits", Shannon's thesis essentially founded practical digital circuit design. In November 1937, George Stibitz, then working at Bell Labs, completed a relay-based computer he dubbed the "Model K" (for