# Logic: Getting an expression and truth table

Discussion in 'Homework Help' started by SilverKing, Jun 15, 2014.

1. ### SilverKing Thread Starter Member

Feb 2, 2014
72
0
Hi everyone,

I've the following problem:

I tried to get the expression of H, which is in sum of products form: A'B'C+A'BC'+A'BC+AB'C+ABC, simplifying it: A'B+C.

I hoped that I get some similarity between H and the given F. I tried to convert both to SOP or POS but couldn't get to anything.

Any hints?

2. ### shteii01 AAC Fanatic!

Feb 19, 2010
3,392
497
F=(A'+B)C
F=A'C+BC
F=A'1C+1BC
F=A'(B+B')C+(A+A')BC
F=A'BC+A'B'C+ABC+A'BC
F=A'BC+A'B'C+ABC

H=A'B'C+A'BC'+A'BC+AB'C+ABC

It would probably be easier now to work from the truth table of H.

Last edited: Jun 15, 2014
3. ### tshuck Well-Known Member

Oct 18, 2012
3,531
675
Another way to look at it might be if you wrote out the truth table for F and compare it to H, you can see there are some inputs that will make F=0 and H=1 - these are where G has to be 1. There are, as suggested in the prompt, possibilities of both F and G being 1.