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Boolean Algebra Help

  1. Sep 13, 2010 #1
    1. The problem statement, all variables and given/known data
    Simplify the following expressions using Boolean Algebra.

    a) A + AB (A or A and B)
    b) A'BC + AC (A(not) and B and C or A and C)
    c) A'B + ABC' + ABC (A(not) and B or A and B and C(not) or A and B and C)

    2. Relevant equations
    Some simple boolean algebra rules.

    3. The attempt at a solution

    For a, I got the answer of A.
    I did:
    A(1 + B)
    = A

    For b, I got the answer AC.

    I did:
    C(A'B + A)
    C(0 + A)
    = AC

    For c, I got the answer AB.
    I did:
    B(A' + AC' + AC)
    B(A' + (A.C') + (A.C))
    B(A' + (0) + A)
    B(A' + A)
    = AB

    Are my calculations correct or am I completely wrong? Thank you for your help.
  2. jcsd
  3. Sep 13, 2010 #2
    Your part b is incorrect. How do you get Not(A) and B == False? What if A were false and B were true?

    Your part c is incorrect. You appear to be making the same kind of mistake with A.C'

    So it appears you are correctly understanding a number of the things you should, but you are missing at least the one thing you missed twice here.
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