# Logical NNOR

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The **logical NNOR** (“Neither Nor”) is an operation on two logical values, typically the values of two propositions, that produces a value of *true* if and only if both of its operands are false. In other words, it produces a value of *false* if and only if at least one of its operands is true.

The truth table of \(p ~\operatorname{NNOR}~ q,\) also written \(p \curlywedge q,\!\) appears below:

\(p\!\) | \(q\!\) | \(p \curlywedge q\!\) |

\(\operatorname{F}\) | \(\operatorname{F}\) | \(\operatorname{T}\) |

\(\operatorname{F}\) | \(\operatorname{T}\) | \(\operatorname{F}\) |

\(\operatorname{T}\) | \(\operatorname{F}\) | \(\operatorname{F}\) |

\(\operatorname{T}\) | \(\operatorname{T}\) | \(\operatorname{F}\) |

## Syllabus

### Focal nodes

Template:Col-breakTemplate:Col-breakTemplate:Col-end### Peer nodes

### Logical operators

### Related topics

- Propositional calculus
- Sole sufficient operator
- Truth table
- Universe of discourse
- Zeroth order logic

### Relational concepts

### Information, Inquiry

### Related articles

## Document history

Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.