# Karnaugh map

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## Karnaugh map

[′kär·nȯ ‚map]
(electronics)
A truth table that has been rearranged to show a geometrical pattern of functional relationships for gating configurations; with this map, essential gating requirements can be recognized in their simplest form.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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The proposed approach is based on optimization qualitative and quantitative for dependability analysis, qualitative optimization is based on causality relations between the events deduced from Truth Table Method combined with Karnaugh Table for deriving minimal feared states, quantitative optimization is based on Reduced Markov Graph this graph is directly composed by a minimal feared state deduced from the qualitative optimization, to avoid the problem of combinatorial explosion in the number of states in the Markov graph modelling.
This heuristic technique works exploring the search space where we can also find circuits obtained through classical design techniques (Karnaugh Map [15], Quine-McCluskey Algorithm and Boolean algebra), but also explore regions of space where there are unconventional circuits, which may be more suitable for some cases.
In addition, to simplify a given Boolean network, the Karnaugh map realization of a Boolean network has been proposed in [34].
Algunos automatismos complejos pueden requerir para esto tecnicas como propiedades del algebra de Boole, metodos de Karnaugh, Quine-Mc Cluskey, etc.
It is clear that n-input Karnaugh map uses n variables to reserve memory storage and represents all the [2.sup.n] possible combinations.
It's designed as a textbook, so college-level students and practicing engineers will find it most handy--but it covers all the basics, from Boolean algebra and logic gates to Karnaugh maps.
This section is relatively technical because it applies Boolean logic and terminologies to construct the truth table, then uses the Karnaugh Map to deduce a final parsimonious "primitive expression."
Figure 1 shows that the difference between the joint probability p(a*, b*) (with a* = a or a* = [bar]a and b* = b or = [bar]b) and the corresponding a-priori estimate P(a*) [multiplied by] P(b*) always has the same absolute value but a different sign in the various cells of the Karnaugh's map of variables A and B.
Few Americans will remember the names of this year's first-time individual medalists, but everyone who watched will treasure forever the heart-warming or -rending stories of Gail Devers's bout with Graves' disease, Nelson Diebel's recovery from teen drug abuse and a bad attitude, Ron Karnaugh's grief at his father's sudden death on opening night, Derek Redmond's agonizing limp to the finish line in the arms of his father.
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