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Math Help - K-mapping question

  1. #1
    Member
    Joined
    Feb 2009
    Posts
    130

    K-mapping question

    Hi everyone


    For the input
    F(A,B,C,D)={1,4,5,7,9, 11, 13, 15}

    i got the truth table & K-map as below:

    Truth table(Z is the output):

    ABCD Z
    0000 0
    0001 1
    0010 0
    0011 0
    0100 1
    0101 1
    0110 0
    0111 1
    1000 0
    1001 1
    1010 0
    1011 1
    1100 0
    1101 1
    1110 0
    1111 1

    Z = ABCD + ABCD + ABCD+ ABCD+ ABCD+ ABCD+ ABCD+ ABCD

    K-map

    CD/AB 00 01 11 10
    00 0 1 0 0
    01 1 1 1 0
    11 0 1 1 0
    10 0 1 1 0


    how do i simplify it? is it possible to eliminate the C input from the eqn?I need to

    Design a 8:1 multiplexer capable of implementing the logic function below:
    F(A,B,C,D)={1,4,5,7,9, 11, 13, 15}, using ABD as the select inputs

    thank you for guiding & helping....really urgent...tq..

    Tq & rgds
    Last edited by anderson; September 1st 2009 at 09:30 PM.
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