BCECE Engineering BCECE Engineering Solved Paper-2015

  • question_answer
    \[\tilde{\ }(p\vee q)\vee (\tilde{\ }p\wedge q)\]is logically equivalent to

    A) \[\tilde{\ }p\]   

    B) \[p\]

    C) \[q\]                                    

    D) \[-q\]

    Correct Answer: A

    Solution :

    \[\tilde{\ }(p\vee q)\vee (\tilde{\ }p\wedge q)\] \[\cong (\tilde{\ }p\wedge \tilde{\ }q)\vee (\tilde{\ }p\wedge q)\] \[\cong \tilde{\ }p\wedge (\tilde{\ }q\vee q)\cong \tilde{\ }p\vee t\cong \tilde{\ }p\]                               


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