BHU PMT BHU PMT (Mains) Solved Paper-2010

  • question_answer

    Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:

    Which of the following is/are not equal to 1 in Boolean algebra?           (1) \[A+1\]                                          (2) \[A\,.\,\overline{A}\] (3) \[A+\overline{A}\]                   (4) \[\overline{A+\overline{A}}\]

    A)  1, 2 and 3 are correct

    B)  1 and 2 are correct

    C)   2 and 4 are correct

    D)  1 and 3 are correct

    Correct Answer: C

    Solution :

                     From Boolean Algebra \[A+1=1\] \[A+{{A}^{-1}}=1\] \[A.{{A}^{-1}}=0\] \[\overline{A+\overline{A}}=\overline{A}.\overline{A}\]                 \[=\overline{A}.A\]                 \[=0\]    Hence, option  is correct.


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