Boolean Algebra / Digital logic
Use algebraic manipulation to prove that \[(x+y)*(x+ybar)=x\]
* is equivalent to the "and" operator
help meeeeeeeee
perhaps i shouldn't step in where i am not fluent, but can you do this as set theory? this is the same as saying (in english) the intersection of the set X intersect Y with X intersect Y^c is X, and that is pretty obvious since if you are in X you are either in Y or not in Y, that is they are disjoint. what symbols are you supposed to use?
I don't see why not it uses Venn diagrams later in the chapter
now take the intersection of those two, that is what is shaded in both, and see that you get all of X
damn second one is a mistake
|dw:1314885542453:dw||dw:1314885592546:dw| there. that is correct. now take the intersection and see that you get back all of X
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