integrated circuits

Discussion in 'Homework Help' started by ann, Feb 22, 2008.

  1. ann

    Thread Starter Member

    Feb 15, 2008
    14
    0
    I am trying to find the final equations for f1 and f2 from truth table below

    inputs outputs
    a b c d fi f2
    0 0 0 0 0 1
    0 0 0 1 0 1
    0 0 1 0 0 0
    0 0 1 1 1 0
    0 1 0 0 0 1
    0 1 0 1 0 1
    0 1 1 0 0 1
    0 1 1 1 1 1
    1 0 0 0 0 0
    1 0 0 1 1 1
    1 0 1 0 0 0
    1 0 1 1 1 1
    1 1 0 0 0 0
    1 1 0 1 1 1
    1 1 1 0 0 0
    1 1 1 1 1 0

    for fi my answer is d(/a.c+a), am unable to solve f2. if someone can take me through the steps in solving this I would appreciate it.
     
  2. adrian.dmc

    Active Member

    Feb 22, 2007
    52
    0
  3. studiot

    AAC Fanatic!

    Nov 9, 2007
    5,005
    513
    You might find the following extra relations helpful in making algebraic reductions.
    using A' for negation or complement.

    A+AB=A

    A(A+B)=A

    A(A'+B)=AB

    A+A'B=(A+A')(A+B)=A+B

    A+BC=(A+B)(A+C)

    A+A+A+...=nA=A

    A.A.A.....=A^n=A
     
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