boolean simplification

Discussion in 'Homework Help' started by izaiyoi, Jan 28, 2008.

  1. izaiyoi

    Thread Starter New Member

    Nov 30, 2007
    3
    0
    need help simplifying
    1. (A+B')' + AB
    2. A'B + AB
     
  2. mik3ca

    Active Member

    Feb 11, 2007
    189
    0
    If I remember, the answers to both questions is "B".

    for #2, you take the B and the rest of the equation goes in brackets, so you get: B(A' + A)

    applying logic, the only two cases you get when you try to simplify is B(1 + 0) and B(0 + 1)

    in an "OR" situation, if at least one input is a logic high ("1"), then the output is a logic high.

    given that, we get: B(1)
    and based on ridiculously-simple logic: anything * 1 = anything.

    so therefore, we get: B.
     
  3. mrmount

    Active Member

    Dec 5, 2007
    59
    7
    1. (a+b')' + Ab = A'b'' + Ab (since (a+b)' = A'b')
    = A'b + Ab
    = (a' + A) B
    = 1.b = B
    2. Refer From The Second Step Of 1.
     
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