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AB + C is not the answer. The correct answer is AB + BC. HOW?

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  • $\begingroup$ How should ~BC be parsed? ​ ​ $\endgroup$ – user12859 Feb 26 '17 at 3:57
  • $\begingroup$ ~ sign is for negation, it's (not)B. Did you mean to ask this? $\endgroup$ – stackuser Feb 26 '17 at 4:23
  • $\begingroup$ Yes, since parsing it as ​ not BC ​ instead would presumably give a different answer. ​ ​ ​ ​ $\endgroup$ – user12859 Feb 26 '17 at 4:26
  • $\begingroup$ Yes that would. $\endgroup$ – stackuser Feb 26 '17 at 4:32
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    $\begingroup$ The correct answer might be incorrect. It happens. $\endgroup$ – Yuval Filmus Feb 26 '17 at 4:47
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Imo there is a problem in the proposed options. Indeed,

$AB+BC+(\neg B)C=AB+(B+\neg B)C=AB+C$

You can check that also comparing the truth-tables of $AB+BC+(\neg B)C$ and $AB+C$.

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  • $\begingroup$ Thank you, my answer is also AB + C and I also tried k-map but didn't get the answer which can mean that the given options are incorrect. $\endgroup$ – stackuser Feb 26 '17 at 18:12
  • $\begingroup$ @CuriousCS The answer given by the exercise book is simply incorrect. It happens. $\endgroup$ – Maczinga Feb 26 '17 at 18:17

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