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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 ...
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 ...
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 ...
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 ...
In digital logic, a don't-care term [1] [2] (abbreviated DC, historically also known as redundancies, [2] irrelevancies, [2] optional entries, [3] [4] invalid combinations, [5] [4] vacuous combinations, [6] [4] forbidden combinations, [7] [2] unused states or logical remainders [8]) for a function is an input-sequence (a series of bits) for ...
A truth table is a structured representation that presents all possible combinations of truth values for the input variables of a Boolean function and their corresponding output values. A function f from A to F is a special relation, a subset of A×F, which simply means that f can be listed as a list of input-output pairs.