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The Karnaugh map (KM or K-map) is a method of simplifying Boolean algebra expressions. Maurice Karnaugh introduced it in 1953 [1] [2] as a refinement of Edward W. Veitch 's 1952 Veitch chart , [3] [4] which itself was a rediscovery of Allan Marquand 's 1881 logical diagram [5] [6] aka Marquand diagram [4] but now with a focus set on its utility ...
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 ...
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 ...
In Chapter 6, section 6.4 "Karnaugh map representation of Boolean functions" they begin with: "The Karnaugh map 1 [1 Karnaugh 1953] is one of the most powerful tools in the repertory of the logic designer. ... A Karnaugh map may be regarded either as a pictorial form of a truth table or as an extension of the Venn diagram." (pp 103–104)
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 ...
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.
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 ...
Converting a Karnaugh map to a Zhegalkin polynomial. The figure shows a function of three variables, P(A, B, C) represented as a Karnaugh map, which the reader may consider as an example of how to convert such maps into Zhegalkin polynomials; the general procedure is given in the following steps: