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JEE Main & Advanced Physics Semiconducting Devices Question Bank Digital Electronics

  • question_answer
    What will be the input of A and B for the Boolean expression \[\overline{(A+B)}\,\cdot \,\overline{(A\cdot B)}=1\]                    [TNPCEE 2002]

    A)            0, 0

    B)            0, 1

    C)            1, 0

    D)            1, 1

    Correct Answer: A

    Solution :

                       The given Boolean expression can be written as            \[Y=(\overline{A+B}).(\overline{A.B})=(\bar{A}.\bar{B}).(\bar{A}+\bar{B})=(\bar{A}\,\bar{A}).\bar{B}+\bar{A}(\bar{B}.\bar{B})\]                    \[=\bar{A}.\bar{B}+\bar{A}\,\bar{B}=\bar{A}\,\bar{B}\]                            
    A B Y
    0 0 1
    1 0 0
    0 1 0
    1 1 0


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