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Thread: CS302 Digital Logic Design Assignment # 2 Spring 2010

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    Post CS302 Digital Logic Design Assignment # 2 Spring 2010

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    Question 1: [marks: 10]
    Simplify the following Boolean expressions, using Boolean Algebraic rules:

    ABC' + A'BC + ABC + A'BC'
    = BC' (A+A')+BC' (A+A') //*Because A+A'=1
    So,
    =BC' (1)BC' (1)
    =B(C'+C)=B(1)
    =B




    (BC' + A'D) (AB'+ CD')
    =BC'AB'+BC'CD'+A'DAB'+A'DCD'
    =C'ABB'+BD'C'C+DB'AA'+A'CDD'
    BY RULE A.A'=0
    SO
    BB'=0, CC'=0 , AA'=0 AND DD'=0
    Answer =0


    Question 2: [marks: 10]
    Simplify the following Boolean functions, using Karnuagh maps:
    F(A,B,C,D) = ∑ (3,7,11,13,14,15)

    Solution:
    Since the function has four variables so,a four variable map must be used.The minterms listed in the sum are marked by 1’s in the map.
    22.jpg


    For Solution In Doc file see the attachment below
    CS302Assignment2Solution.doc

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    CS302 - Assignment # 2
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