I need to simplify this Boolean expression: $(BC'+A'D)(AB'+CD')$
I'm unsure what the theorems say about this. But I've tried this, and not sure if this is the right way: $BC'AB' + BC'CD' + A'DAB' +A'DCD'$ ...and this is ezpz.
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Please try to make the titles of your questions more informative. For example, Why does $a<b$ imply $a+c<b+c$? is much more useful for other users than A question about inequality. From How can I ask a good question?: Make your title as descriptive as possible. In many cases one can actually phrase the title as the question, at least in such a way so as to be comprehensible to an expert reader. You can find more tips for choosing a good title here. – Shaun Sep 06 '18 at 12:51
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For a boolean variable $X$, $XX'=0$, since either $X$ or $X'$ must be $0$. This can be used to solve your expanded expression.
GoodDeeds
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2@Wuestenfux Yes, that is correct. This answer only intends to provide a starting point. – GoodDeeds Sep 06 '18 at 12:50
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I looked at it and tried the obvious change X and (A or B) = (X and A) or (X and B) to see what happens, and FALSE or 0 happened :-) – gnasher729 Dec 09 '22 at 10:03