BHU PMT BHU PMT (Mains) Solved Paper-2006

  • question_answer
    The Boolean expression for the truth table given below is:
    A B Y
    0 0 1
    0 1 1
    1 0 1
    1 1 0

    A)  \[Y=\overline{A}+\overline{B}\]             

    B)  \[Y=\overline{A+B}\]

    C)  \[Y=\overline{A}+B\]                   

    D)  \[Y=A.B\]

    Correct Answer: A

    Solution :

                     The given truth table corresponds to NAND gate whose Boolean expression is,    \[Y=\overline{A.B}\] or   \[Y=\overline{A}+\overline{B}\]             (De Morgan's theorem)


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