XOR gate

XOR gate truth table
Input		Output
A	B	A XOR B
0	0	0
0	1	1
1	0	1
1	1	0

In digital electronics, an XOR gate is a logic gate which produces an output of true when any of its inputs are true, but not both. A LOW (0) output results when all of the inputs to the gate are LOW or all of the inputs are HIGH (1); if any of the inputs are HIGH but not all, a high output results.

Logic

A two-input OR gate can be expressed in Boolean logic as $A\cdot {\overline {B}}+{\overline {A}}\cdot B$, $(A+B)\cdot ({\overline {A}}+{\overline {B}})$ or $A\oplus B$.

See also

• AND gate
• NAND gate
• NOR gate
• XOR gate
• XNOR gate
• Inverter (NOT gate)
• IMPLY gate
• NIMPLY gate