XOR Gate

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The **XOR gate** (sometimes **EOR gate**, or **EXOR gate**) is a digital logic gate that implements an exclusive disjunction; that is, it behaves according to the truth table shown on the right. A true output (1) results if one, and only one, of the inputs to the gate is true (1). If both inputs are false (0) or both are true (1), a false output (0) results. A way to remember XOR is "one or the other but not both". It represents the inequality function, i.e., the output is HIGH (1) if the inputs are not alike otherwise the output is LOW (0).

This function is addition modulo 2. As a result, XOR gates are used to implement binary addition in computers. A half adder consists of an XOR gate and an AND gate.

## Symbols

There are two symbols for XOR gates: the 'military' symbol which was originally developed in America and the 'rectangular' symbol, which was originally British. For more information see Logic Gate Symbols.

The XOR gate with inputs*A* and *B* implements the logical expression <math>A cdot overline + overline cdot B</math>.

## Hardware description and pinout

XOR gates are basic logic gates, and as such they are recognised in TTL and CMOS IC. The standard 4000 series CMOS IC is the 4070, which includes four independent two-input XOR gates. The 4070 replaces the less reliable 4030, but keeps the pinout. The pinout diagram is as follows:

<table><td>

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This function is addition modulo 2. As a result, XOR gates are used to implement binary addition in computers. A half adder consists of an XOR gate and an AND gate.

The XOR gate with inputs

<table><td>

1 Input A1 2 Input B1 3 Output Q1 4 Output Q2 5 Input A2 6 Input B2

7 ......

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