How to eliminate redundant logic term using simplification rules and expressions.












0












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This expression is right according to Karnaugh Map
enter image description here



Is it possible to eliminate extra term using Boolean algebra transformation and simplification rules? In other words - what is calculation process of this expression, which eliminates extra term.



Map:



enter image description here










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$endgroup$












  • $begingroup$
    What do you mean "by combinatorics"? The Karnaugh map itself may be considered as a concept based on combinatorics.
    $endgroup$
    – Vincenzo
    Dec 12 '18 at 21:50










  • $begingroup$
    I mean using Boolean Algebra simplification rules
    $endgroup$
    – andreikashin
    Dec 13 '18 at 17:39












  • $begingroup$
    Look up the consensus theorem.
    $endgroup$
    – Fabio Somenzi
    Dec 13 '18 at 17:46










  • $begingroup$
    @Fabio, yes, that is the answer - thank you!
    $endgroup$
    – andreikashin
    Dec 13 '18 at 18:04










  • $begingroup$
    math.stackexchange.com/a/60724/599981
    $endgroup$
    – andreikashin
    Dec 14 '18 at 9:44
















0












$begingroup$


This expression is right according to Karnaugh Map
enter image description here



Is it possible to eliminate extra term using Boolean algebra transformation and simplification rules? In other words - what is calculation process of this expression, which eliminates extra term.



Map:



enter image description here










share|cite|improve this question











$endgroup$












  • $begingroup$
    What do you mean "by combinatorics"? The Karnaugh map itself may be considered as a concept based on combinatorics.
    $endgroup$
    – Vincenzo
    Dec 12 '18 at 21:50










  • $begingroup$
    I mean using Boolean Algebra simplification rules
    $endgroup$
    – andreikashin
    Dec 13 '18 at 17:39












  • $begingroup$
    Look up the consensus theorem.
    $endgroup$
    – Fabio Somenzi
    Dec 13 '18 at 17:46










  • $begingroup$
    @Fabio, yes, that is the answer - thank you!
    $endgroup$
    – andreikashin
    Dec 13 '18 at 18:04










  • $begingroup$
    math.stackexchange.com/a/60724/599981
    $endgroup$
    – andreikashin
    Dec 14 '18 at 9:44














0












0








0





$begingroup$


This expression is right according to Karnaugh Map
enter image description here



Is it possible to eliminate extra term using Boolean algebra transformation and simplification rules? In other words - what is calculation process of this expression, which eliminates extra term.



Map:



enter image description here










share|cite|improve this question











$endgroup$




This expression is right according to Karnaugh Map
enter image description here



Is it possible to eliminate extra term using Boolean algebra transformation and simplification rules? In other words - what is calculation process of this expression, which eliminates extra term.



Map:



enter image description here







combinatorics logic






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Dec 13 '18 at 17:41







andreikashin

















asked Dec 12 '18 at 17:38









andreikashinandreikashin

1013




1013












  • $begingroup$
    What do you mean "by combinatorics"? The Karnaugh map itself may be considered as a concept based on combinatorics.
    $endgroup$
    – Vincenzo
    Dec 12 '18 at 21:50










  • $begingroup$
    I mean using Boolean Algebra simplification rules
    $endgroup$
    – andreikashin
    Dec 13 '18 at 17:39












  • $begingroup$
    Look up the consensus theorem.
    $endgroup$
    – Fabio Somenzi
    Dec 13 '18 at 17:46










  • $begingroup$
    @Fabio, yes, that is the answer - thank you!
    $endgroup$
    – andreikashin
    Dec 13 '18 at 18:04










  • $begingroup$
    math.stackexchange.com/a/60724/599981
    $endgroup$
    – andreikashin
    Dec 14 '18 at 9:44


















  • $begingroup$
    What do you mean "by combinatorics"? The Karnaugh map itself may be considered as a concept based on combinatorics.
    $endgroup$
    – Vincenzo
    Dec 12 '18 at 21:50










  • $begingroup$
    I mean using Boolean Algebra simplification rules
    $endgroup$
    – andreikashin
    Dec 13 '18 at 17:39












  • $begingroup$
    Look up the consensus theorem.
    $endgroup$
    – Fabio Somenzi
    Dec 13 '18 at 17:46










  • $begingroup$
    @Fabio, yes, that is the answer - thank you!
    $endgroup$
    – andreikashin
    Dec 13 '18 at 18:04










  • $begingroup$
    math.stackexchange.com/a/60724/599981
    $endgroup$
    – andreikashin
    Dec 14 '18 at 9:44
















$begingroup$
What do you mean "by combinatorics"? The Karnaugh map itself may be considered as a concept based on combinatorics.
$endgroup$
– Vincenzo
Dec 12 '18 at 21:50




$begingroup$
What do you mean "by combinatorics"? The Karnaugh map itself may be considered as a concept based on combinatorics.
$endgroup$
– Vincenzo
Dec 12 '18 at 21:50












$begingroup$
I mean using Boolean Algebra simplification rules
$endgroup$
– andreikashin
Dec 13 '18 at 17:39






$begingroup$
I mean using Boolean Algebra simplification rules
$endgroup$
– andreikashin
Dec 13 '18 at 17:39














$begingroup$
Look up the consensus theorem.
$endgroup$
– Fabio Somenzi
Dec 13 '18 at 17:46




$begingroup$
Look up the consensus theorem.
$endgroup$
– Fabio Somenzi
Dec 13 '18 at 17:46












$begingroup$
@Fabio, yes, that is the answer - thank you!
$endgroup$
– andreikashin
Dec 13 '18 at 18:04




$begingroup$
@Fabio, yes, that is the answer - thank you!
$endgroup$
– andreikashin
Dec 13 '18 at 18:04












$begingroup$
math.stackexchange.com/a/60724/599981
$endgroup$
– andreikashin
Dec 14 '18 at 9:44




$begingroup$
math.stackexchange.com/a/60724/599981
$endgroup$
– andreikashin
Dec 14 '18 at 9:44










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