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Find a statement S, based on P, Q, and R, that is represented by the truth table

  1. Feb 29, 2012 #1
    Firstly, I apologize if this is the wrong section to post, not sure where in homework help for logic is suppose to be post.

    Otherwise, I have no idea how to approach this problem, I just make an equation and hope and pray it matches the results of S, or try and keep adding statements to bring the desired results. I manage to match S almost all except for 1 of the rows, but I cannot just change that one.
    If anyone can help, or give me suggestions on how to approach this problem. That would be great!

    1. The problem statement, all variables and given/known data

    Create some statement EX) (P v Q) where the final results are S.
    Code (Text):

    P Q R S
    ---------------
    T T T F
    T T F F
    T F T T
    F T T F
    T F F T
    F T F F
    F F T F
    F F F T
    3. The attempt at a solution
    Some of the equations I have tried, but failed:
    ((R & Q) V P) => Q) v R
    ~(~P V Q ) <--> R ) -> P
    (~(P => Q ) & R => Q)
    Almost all three of these equations have resulted in a match except for one of the columns.
     
    Last edited by a moderator: Feb 29, 2012
  2. jcsd
  3. Feb 29, 2012 #2

    berkeman

    User Avatar

    Staff: Mentor

    Have you learned how to use Karnaugh Maps in your logic class? I don't know if you use them, but we use them in logic circuit design to come up with the logic equation from the Truth Table:

    http://en.wikipedia.org/wiki/Karnaugh_map

    .
     
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