my problem was from here im stuck and does not know to using Boolean algebra or karnaugh maps for getting simplify this question. Thanks
0 + 0 = 0
0 + 1 = 1
1 + 0 = 1
1 + 1 = 0
0 * 0 = 0
0 * 1 = 0
1 * 0 = 0
1 * 1 = 1
If so, then a (probably slow) way of solving is to construct an 8-row truth table and then find a simpler expression from that. I'm curious to see what people more experienced with these problems post.
Just to use slightly more standard syntax: you want to simplify
Are you wanting to put the result in disjunctive or conjunctive normal form, or are you just trying to minimize the number of logic gates required?
Note to undefined: in digital logic, at least, the plus symbol is usually the inclusive or, and you use something like for exclusive or.
I would probably use Karnaugh maps or DeMorgan's rules to simplify.