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Math Help - Truth table

  1. #1
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    Truth table

    A digital circuit has three inputs A, B and C, and three outputs X,Y and Z. The truth table is given below. Determine separate boolean expressions for X, Y and Z.

    C B A X Y Z
    0 0 0 1 0 0
    0 0 1 0 1 0
    0 1 0 0 1 0
    0 1 1 0 0 1
    1 0 0 0 1 0
    1 0 1 0 1 0
    1 1 0 1 0 0
    1 1 1 0 0 1
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  2. #2
    MHF Contributor
    Grandad's Avatar
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    South Coast of England
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    Hello maniesh
    Quote Originally Posted by maniesh View Post
    A digital circuit has three inputs A, B and C, and three outputs X,Y and Z. The truth table is given below. Determine separate boolean expressions for X, Y and Z.

    C B A X Y Z
    0 0 0 1 0 0
    0 0 1 0 1 0
    0 1 0 0 1 0
    0 1 1 0 0 1
    1 0 0 0 1 0
    1 0 1 0 1 0
    1 1 0 1 0 0
    1 1 1 0 0 1
    X = A'B'C' + A'BC
    =A'(B'C' + BC)
    Y = AB'C' + A'BC' + A'B'C + AB'C
    = A'B'C + AB' + B'C
    Z = ABC' + ABC
    = AB
    Grandad
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