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nor



NOR

Not OR.

The Boolean function which is true if none of its inputs are true and false otherwise, the logical complement of inclusive OR. The binary (two-input) NOR function can be defined (written as an infix operator):

A NOR B = NOT (A OR B) = (NOT A) AND (NOT B)

Its truth table is:

 A | B | A NOR B  --+---+---------  F | F |    T  F | T |    F  T | F |    F  T | T |    F 
NOR, like NAND, forms a complete set of Boolean functions on its own since it can be used to make NOT, AND, OR and any other Boolean function:

NOT A = A NOR A

A OR B = NOT (A NOR B)

A AND B = (NOT A) NOR (NOT B)

Last updated: 1995-02-06



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