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CMC Medical CMC-Medical VELLORE Solved Paper-2012

  • question_answer
    If the logic gates are combined as shown in figure and the logic states of inputs A, B, C are as follows A = B = C = 0 and A = B = 1, C = 0, then the logic states of output D are

    A)  1, 0                                       

    B)  1, 1

    C)  0, 1                                       

    D)  0, 0

    Correct Answer: B

    Solution :

                    The output of the given combinations can be given as \[D=\overline{(A+B)\cdot C}\]                     \[=\overline{(A+B)}+\overline{C}\] If             \[A=B=C=0\] Then, \[D=(\overline{0+0})+\overline{0}=(\overline{0}+\overline{0})=1+1=1\] and If \[A=B=1,\,C=0\] Then \[D=(\overline{1+1})+\overline{0}=(\overline{1}+\overline{0})=0+1=1\]


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