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XOR gate (sometimes EOR, or EXOR and pronounced as Exclusive OR) is a digital logic gate that gives a true (1 or HIGH) output when the number of true inputs is odd. An XOR gate implements an exclusive or from mathematical logic; that is, a true output results if one, and only one, of the inputs to the gate is true. If both inputs are false (0 ...
In fact, both NAND and NOR gates are so-called "universal gates" and any logical function can be constructed from either NAND logic or NOR logic alone. If the four NOR gates are replaced by NAND gates, this results in an XOR gate, which can be converted to an XNOR gate by inverting the output or one of the inputs (e.g. with a fifth NAND gate).
AND x n−1) XOR x n. The Toffoli gate can be realized by five two-qubit quantum gates, [5] but it can be shown that it is not possible using fewer than five. [6] Another universal gate, the Deutsch gate, can be realized by five optical pulses with neutral atoms. [7] The Deutsch gate is a universal gate for quantum computing. [8]
A logic circuit diagram for a 4-bit carry lookahead binary adder design using only the AND, OR, and XOR logic gates. A logic gate is a device that performs a Boolean function, a logical operation performed on one or more binary inputs that produces a single binary output.
The XOR operation preserves randomness, meaning that a random bit XORed with a non-random bit will result in a random bit. Multiple sources of potentially random data can be combined using XOR, and the unpredictability of the output is guaranteed to be at least as good as the best individual source. [22]
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 ...
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.
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.