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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 ...
In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
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.
An XNOR gate is a basic comparator, because its output is "1" only if its two input bits are equal. The analog equivalent of digital comparator is the voltage comparator . Many microcontrollers have analog comparators on some of their inputs that can be read or trigger an interrupt .
A standard LFSR has a single XOR or XNOR gate, where the input of the gate is connected to several "taps" and the output is connected to the input of the first flip-flop. A MISR has the same structure, but the input to every flip-flop is fed through an XOR/XNOR gate. For example, a 4-bit MISR has a 4-bit parallel output and a 4-bit parallel input.
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 .
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 ...