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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.
quad XOR/XNOR gate, two inputs to select logic type 16 SN74S135: 74x136 4 quad 2-input XOR gate: open-collector 14 SN74LS136: 74x137 1 3-to-8 line decoder/demultiplexer, address latch, inverting outputs 16 SN74LS137: 74x138 1 3-to-8 line decoder/demultiplexer, inverting outputs 16 SN74LS138: 74x139 2 dual 2-to-4 line decoder/demultiplexer ...
An XNOR gate is made by considering the disjunctive normal form + ¯ ¯, noting from de Morgan's law that a NAND gate is an inverted-input OR gate. This construction entails a propagation delay three times that of a single NAND gate and uses five gates.
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 ...
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.
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 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.
The gate is called XNOR because it is a NOR gate with an added twist. With NOR, if either or both inputs is 1, the output is 0. With XNOR, the "exclusive" condition is added to that, so that with XNOR, the output is 0 only if exactly one input is 1. With XNOR, the "both inputs 1" condition is excluded from producing the active output, namely 0.