Logical NNOR

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This page belongs to resource collections on Logic and Inquiry.

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:

\text{Logical NNOR}\!
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}


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