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Boolean XOR truth table for w,x,y,z

  1. Oct 10, 2011 #1
    1. The problem statement, all variables and given/known data
    Recall that the Boolean addition is defined by the rule
    x XOR y = xy' OR x'y. Consider the Boolean function in four variables w, x, y, z
    defined by the formula f = w XOR y XOR xz XOR wxz XOR wyz XOR xyz XOR wxyz.

    A Karnaugh map method must be used to find all simple boolean expressions.

    I assume it must first be put into a truth table and then go from there.


    2. Relevant equations
    x XOR y = xy' OR x'y



    3. The attempt at a solution

    I attempted to try something like A = w XOR y B = A XOR xz C = B XOR wxz D = C XOR wyz E = D XOR xyz and F = E XOR wxyz. Then using these values in a truth table although i really have no idea what im doing. Is it possible for someone to just say on the right track or wrong? I have been struggling with this for a long time now I'm getting pretty desperate. Thank you.

    Edit: I'm not being very clear here, I'm just trying to work out how to convert function into disunjunctive normal form so i can then go from there, but I'm unable to do that. thanks.
     
    Last edited: Oct 10, 2011
  2. jcsd
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