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A single NOR gate. A NOR gate or a NOT OR gate is a logic gate which gives a positive output only when both inputs are negative.. Like NAND gates, NOR gates are so-called "universal gates" that can be combined to form any other kind of logic gate.
In the popular CMOS and TTL logic families, NOR gates with up to 8 inputs are available: CMOS. 4001: Quad 2-input NOR gate; 4025: Triple 3-input NOR gate; 4002: Dual 4-input NOR gate; 4078: Single 8-input NOR gate; TTL. 7402: Quad 2-input NOR gate; 7427: Triple 3-input NOR gate; 7425: Dual 4-input NOR gate (with strobe, obsolete) 74260: Dual 5 ...
The 3-input Fredkin gate is functionally complete reversible gate by itself – a sole sufficient operator. There are many other three-input universal logic gates, such as the Toffoli gate. In quantum computing, the Hadamard gate and the T gate are universal, albeit with a slightly more restrictive definition than that of functional completeness.
While the Implication gate isn't functionally complete by itself, it is in conjunction with the constant 0 source. This can be shown via the following: := = =. Thus as the implication gate with the addition of the constant 0 source can create both the NOT gate and the OR gate, it can create the NOR gate, which is a universal gate.
The XNOR gate (sometimes ENOR, EXNOR, NXOR, XAND and pronounced as Exclusive NOR) is a digital logic gate whose function is the logical complement of the Exclusive OR gate. [1] It is equivalent to the logical connective ( ↔ {\displaystyle \leftrightarrow } ) from mathematical logic , also known as the material biconditional.
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In Boolean logic, logical NOR, [1] non-disjunction, or joint denial [1] is a truth-functional operator which produces a result that is the negation of logical or.That is, a sentence of the form (p NOR q) is true precisely when neither p nor q is true—i.e. when both p and q are false.
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