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Generalized assignment problem; Integer programming. The variant where variables are required to be 0 or 1, called zero-one linear programming, and several other variants are also NP-complete [2] [3]: MP1 Some problems related to Job-shop scheduling; Knapsack problem, quadratic knapsack problem, and several variants [2] [3]: MP9
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. Depending on the context, the term may refer to an ideal logic gate, one that has, for instance, zero rise time and unlimited fan-out, or it may refer to a non-ideal physical device [1] (see ...
[1]: 8 The edges must also have some ordering, to distinguish between different arguments to the same Boolean function. [1]: 9 As a special case, a propositional formula or Boolean expression is a Boolean circuit with a single output node in which every other node has fan-out of 1. Thus, a Boolean circuit can be regarded as a generalization ...
In computer engineering, a logic family is one of two related concepts: . A logic family of monolithic digital integrated circuit devices is a group of electronic logic gates constructed using one of several different designs, usually with compatible logic levels and power supply characteristics within a family.
The XOR gate is dependent on timing. The logic OR gate is simple to make in dominoes, consisting of two domino paths in a Y-shape with the stem of the Y as the output. The complex piece is which gate is able to be added to OR to obtain a functionally complete set such that all logic gates can be represented.
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.
Description: VIsual diagram of various Logic gates.The parts of the diagram correspond to the four permutations possible given two boolean variables. The red and blue circles parts correspond to one variable being high (having a truth value of 1); the purple between them represents them both as high, and the gray shading behind the Venn Diagram represents two low (0) values.
However, the assignment of logical 1 and logical 0 to high or low is arbitrary and is reversed in active-low or negative logic, where low is logical 1 while high is logical 0. The following diode logic gates work in both active-high or active-low logic, however the logical function they implement is different depending on what voltage level is ...