# XNOR gate

## Digital logic gate / From Wikipedia, the free encyclopedia

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The **XNOR gate** (sometimes **ENOR**, **EXNOR**, **NXOR**, **XAND** and pronounced as **Exclusive NOR**) is a digital logic gate whose function is the logical complement of the Exclusive OR (XOR) gate.[1] It is equivalent to the logical connective ($\leftrightarrow$) from mathematical logic, also known as the material biconditional. The two-input version implements logical equality, behaving according to the truth table to the right, and hence the gate is sometimes called an "equivalence gate". A high output (1) results if both of the inputs to the gate are the same. If one but not both inputs are high (1), a low output (0) results.

**Table info: XNOR gate truth table...**▼

XNOR gate truth table | ||
---|---|---|

Input | Output | |

A | B | A XNOR B |

0 | 0 | 1 |

0 | 1 | 0 |

1 | 0 | 0 |

1 | 1 | 1 |

The algebraic notation used to represent the XNOR operation is $S=A\odot B$. The algebraic expressions $(A+{\overline {B}})\cdot ({\overline {A}}+B)$ and $A\cdot B+{\overline {A}}\cdot {\overline {B}}$ both represent the XNOR gate with inputs *A* and *B*.