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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 ...
Logical equivalence is different from material equivalence. Formulas and are logically equivalent if and only if the statement of their material equivalence is a tautology.
Examples of digital comparator include the CMOS 4063 and 4585 and the TTL 7485 and 74682. 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 .
For example, if the taps are at the 16th, 14th, 13th and 11th bits (as shown), the feedback polynomial is x 16 + x 14 + x 13 + x 11 + 1. {\displaystyle x^{16}+x^{14}+x^{13}+x^{11}+1.} The "one" in the polynomial does not correspond to a tap – it corresponds to the input to the first bit (i.e. x 0 , which is equivalent to 1).
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A CMOS transistor NAND element. V dd denotes positive voltage.. In CMOS logic, if both of the A and B inputs are high, then both the NMOS transistors (bottom half of the diagram) will conduct, neither of the PMOS transistors (top half) will conduct, and a conductive path will be established between the output and Vss (ground), bringing the output low.
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