# NOR

(redirected from*NOR gate*)

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## NOR

[nȯr] (mathematics)

A logic operator having the property that if P, Q, R, … are statements, then the NOR of P, Q, R, … is true if all statements are false, false if at least one statement is true. Derived from NOT-OR. Also known as Peirce stroke relationship.

## 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)

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)

## NOR

(**N**ot

**OR**) A Boolean logic operation that is true if all inputs are false, and false if any input is true. A NOR gate is constructed of an OR gate followed by a NOT gate.

An exclusive NOR (XNOR) is true if both inputs are the same. An XNOR is constructed of multiple NOR gates. See Boolean logic, flash memory and NAND flash.

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