# NOR

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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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## 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)

## NOR

(Not 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.

Copyright © 1981-2019 by The Computer Language Company Inc. All Rights reserved. THIS DEFINITION IS FOR PERSONAL USE ONLY. All other reproduction is strictly prohibited without permission from the publisher.
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We see that the attacker designed the hardware Trojan so that the payload is triggered when the NOR gate's inputs are both zero (yellow portion of Figure 3).
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This phenomenon happened because the NOR gate is a duality of the NAND gate, so their stationary behaviors, characterized by Figures 9 and 10, appear to be complementary and they share the same error bound.
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