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:
    [​IMG]

    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.
     
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