XORportti

XORportti, or XOR gate, is a digital logic device that implements the exclusive OR operation on binary inputs. Its output is true when exactly one of the inputs is true, and false otherwise.

For two inputs A and B, the output Y equals (A and not B) or (not A and B). When more than two inputs are provided, XORportti yields a true output when an odd number of inputs are true, a property known as parity.

In hardware, XORportti can be built from transistors or from other gates such as NANDs in various configurations. Commercial integrated circuits include two-input XOR gates: 74LS86 (TTL family) and 4070 (CMOS family) among others. These gates are used as building blocks in adders, parity generators and checkers, error-detection circuits, and data encoding schemes.

History and use: The concept follows from Boolean algebra developed by George Boole and was implemented in electronic form with early integrated circuits in the 1960s. XORportti is a standard component in digital systems, ranging from simple combinational logic to complex arithmetic units.

See also: Logic gate, Boolean algebra, Parity bit, Arithmetic logic unit.