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  • : Finding the minimal logical functions has important applications in the design of logical circuits. This task is solved by many different methods but, frequently, they are not suitable for a computer implementation. We briefly summarise the well-known Quine-McCluskey method, which gives a unique procedure of computing and thus can be simply implemented, but, even for simple examples, does not guarantee an optimal solution. Since the Petrick extension of the Quine-McCluskey method does not give a generally usable method for finding an optimum for logical functions with a high number of values, we focus on interpretation of the result of the Quine-McCluskey method and show that it represents a set covering problem that, unfortunately, is an NP-hard combinatorial problem. Therefore it must be solved by heuristic or approximation methods. We propose an approach based on genetic algorithms and show suitable parameter settings.
  • : Finding the minimal logical functions has important applications in the design of logical circuits. This task is solved by many different methods but, frequently, they are not suitable for a computer implementation. We briefly summarise the well-known Quine-McCluskey method, which gives a unique procedure of computing and thus can be simply implemented, but, even for simple examples, does not guarantee an optimal solution. Since the Petrick extension of the Quine-McCluskey method does not give a generally usable method for finding an optimum for logical functions with a high number of values, we focus on interpretation of the result of the Quine-McCluskey method and show that it represents a set covering problem that, unfortunately, is an NP-hard combinatorial problem. Therefore it must be solved by heuristic or approximation methods. We propose an approach based on genetic algorithms and show suitable parameter settings. (en)
Title
  • MINISATION OF COMPLEXLOGICAL FUNCTIONS
  • MINISATION OF COMPLEXLOGICAL FUNCTIONS (en)
skos:prefLabel
  • MINISATION OF COMPLEXLOGICAL FUNCTIONS
  • MINISATION OF COMPLEXLOGICAL FUNCTIONS (en)
skos:notation
  • RIV/63468352:_____/12:#0000274!RIV13-MSM-63468352
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  • 150669
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  • RIV/63468352:_____/12:#0000274
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  • Boolean algebra, Karnaugh map, Quine-McCluskey method, set covering problem, genetic algorithm (en)
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  • [81ECEDA4DEE8]
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  • Kunovice
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  • Kunovice
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  • TENTH INTERNATIONAL CONFERENCE ON SOFT COMPUTING APPLIED IN COMPUTER AND ECONOMIC ENVIRONMENTS
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  • Šeda, Miloš
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http://linked.open.../riv/zahajeniAkce
number of pages
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  • Evropský polytechnický institut, s.r.o.
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  • 978-80-7314-279-7
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