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An example Karnaugh map. This image actually shows two Karnaugh maps: for the function ƒ, using minterms (colored rectangles) and for its complement, using maxterms (gray rectangles). In the image, E () signifies a sum of minterms, denoted in the article as . The Karnaugh map ( KM or K-map) is a method of simplifying Boolean algebra expressions.
Espresso heuristic logic minimizer. The ESPRESSO logic minimizer is a computer program using heuristic and specific algorithms for efficiently reducing the complexity of digital logic gate circuits. [1] ESPRESSO-I was originally developed at IBM by Robert K. Brayton et al. in 1982. [2] [3] and improved as ESPRESSO-II in 1984.
Logic optimization is a process of finding an equivalent representation of the specified logic circuit under one or more specified constraints. This process is a part of a logic synthesis applied in digital electronics and integrated circuit design . Generally, the circuit is constrained to a minimum chip area meeting a predefined response delay.
The Quine–McCluskey algorithm is functionally identical to Karnaugh mapping, but the tabular form makes it more efficient for use in computer algorithms, and it also gives a deterministic way to check that the minimal form of a Boolean F has been reached. It is sometimes referred to as the tabulation method. The Quine-McCluskey algorithm ...
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Edward Westbrook Veitch (4 November 1924 – 23 December 2013 [1]) was an American computer scientist. He graduated from Harvard University in 1946 with a degree in Physics, followed by graduate degrees from Harvard in Physics and Applied Physics in 1948 and 1949 respectively. In his 1952 paper "A Chart Method for Simplifying Truth Functions ...
Karnaugh earned a B.A in physics from the City College of New York in 1948 and a PhD. in physics from Yale in 1952. He later studied studied mathematics and physics at City College of New York (1944 to 1948) and transferred to Yale University to complete his B.Sc. (1949), M.Sc. (1950) and Ph.D. in physics with a thesis on The Theory of Magnetic Resonance and Lambda-Type Doubling in Nitric ...
Don't-care terms are important to consider in minimizing logic circuit design, including graphical methods like Karnaugh–Veitch maps and algebraic methods such as the Quine–McCluskey algorithm. In 1958, Seymour Ginsburg proved that minimization of states of a finite-state machine with don't-care conditions does not necessarily yield a ...