Digital logic homework help

duragezic

Lifer
Oct 11, 1999
11,234
4
81
Hello, I've got this Digital Logic homework assignment I've been stuck on for a couple of days.

The question I'm on simply requires you to simplify using theorems.

For instance, for (a), it was ABC' + (AB'C)'. I came up with BC' after applying the NOT, then absorbing rule, then Idempotency rule.

for (b), it was A + B + C' (A+B)'. I ended up with C' after distributing, then absorbing then Idempotency.

for (c), it is AB'(A+B+C'). I believe you are able to distribute it out to AB'A + AB'B + AB'C', but I do not where to go from here.

Also, the next question asks you to use algebraic manipulation to put each into the SOP form with complements of individual variables only. WTF does that mean? I even asked my prof today but she is a horrible teacher, everyone who's had digital logic the past of years here says that. SOP form is using two ANDs for the inputs, then the outputs of those go to a OR, correct?

The expression for (a) is [(A+B)' + (A'B'C')' + A'C']'

Would I simply that the same way as the above questions? Er...? I doubt this stuff is very hard but I just need to see a couple of examples done.