What Is an XOR Gate ? One element conspicuously missing from the set of Boolean operations is that of Exclusive-OR, often represented as XOR . Whereas the OR function is equivalent to Boolean addition, the AND function to Boolean multiplication, and the NOT function (inverter) to Boolean complementation, there is no direct Boolean equivalent for Exclusive-OR. This hasn’t stopped people from developing a symbol to represent this logic gate , though: This logic gate symbol is seldom used in ... Learn the basics of XOR and XNOR gates, two derived logic gates with two inputs and one output. Find out their symbols, truth tables, Boolean expressions, and applications in digital electronics. Learn what an exclusive OR gate ( XOR ) is, how it works, and why it is useful in digital logic circuits. Find out the symbol, truth table, Boolean expression, and examples of XOR gates and their applications in arithmetic, error detection, and cryptography. XOR gates are used in circuits that perform arithmetic operations and calculations, especially in half-adders and adders. The ability of the XOR gate to compare two logic levels and give an output dependent upon the input condition is very useful in many computational circuits.
