Search results
Results from the WOW.Com Content Network
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.
This explains why "EQ" is often called "XNOR" in the combinational logic of circuit engineers, since it is the negation of the XOR operation; "NXOR" is a less commonly used alternative. [1] Another rationalization of the admittedly circuitous name "XNOR" is that one begins with the "both false" operator NOR and then adds the eXception "or both ...
Alternatively, an XNOR gate is made by considering the conjunctive normal form (+ ¯) (¯ +), noting from de Morgan's Law that a NOR gate is an inverted-input AND gate. This construction uses five gates instead of four.
NOR is the result of the negation of the OR operator. It can also in some senses be seen as the inverse of an AND gate. NOR is a functionally complete operation—NOR gates can be combined to generate any other logical function. It shares this property with the NAND gate.
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 .
if and only if, iff, xnor propositional logic, Boolean algebra: is true only if both A and B are false, or both A and B are true. Whether a symbol means a material biconditional or a logical equivalence, depends on the author’s style.
It was a big deal two and a half years ago when researchers shrunk down an image-recognition program to fit onto a $5 computer the size of a candy bar — and now it's an even bigger deal for Xnor ...
For example, NOR (the negation of the disjunction, sometimes denoted ) can be expressed as conjunction of two negations: A ↓ B := ¬ A ∧ ¬ B {\displaystyle A\downarrow B:=\neg A\land \neg B} Similarly, the negation of the conjunction, NAND (sometimes denoted as ↑ {\displaystyle \uparrow } ), can be defined in terms of disjunction and ...