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RAJASTHAN PMT Rajasthan - PMT Solved Paper-2010

  • question_answer
    In the Boolean algebra \[\overline{(\overline{A.}\overline{B}).}\] A equals to

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

    B)  A

    C)  A.B                       

    D)         A + B

    Correct Answer: B

    Solution :

    \[(\overline{\bar{A}\cdot \bar{B}})\cdot A=(\bar{\bar{A}}+\bar{\bar{B}})A=(A+B)\cdot A\] \[=A\cdot A+AB=A+AB=A(1+B)=A\]


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