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CMC Medical CMC-Medical VELLORE Solved Paper-2012

  • question_answer
    According to Boolean Algebra \[\overline{\overline{A}\cdot \overline{B}}\cdot A\]equals to

    A)  \[A\]                                    

    B)  \[A+B\]

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

    D)  \[\overline{A\cdot B}\]

    Correct Answer: A

    Solution :

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


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