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Logical Nor




The Logical nor or '''joint denial''' is a Boolean Logic operator which produces a result that is the inverse of Logical Or . That is, (''not or''), ''p'' nor ''q'' is only true when neither ''p'' nor ''q'' is true, and is false otherwise.

The NOR operator is also known as Webb-operation or '''Peirce arrow''', named after Charles Peirce who demonstrated that any logical operation can be expressed in terms of logical NOR. Thus, as with NAND Operator , NOR can be used by itself, without any other logical operator, to constitute a logical formal system.


DEFINITION

A common means of writing ''p'' NOR ''q'' is \overline{p + q}, where the symbol + signifies OR and the line over the expression signifies not, the logical negation of that expression

The two-input logical NOR operator is commonly described by a Truth Table , describing the output state for all possible input combinations:


JOINT DENIAL

NOR has the interesting feature that all other Logical Operator s can be expressed by various functions of nor.