12th Class Computers Science Sample Paper Cyber Olympiad Sample Paper-5

  • question_answer
    Find the equivalent SOP form of the given Boolean Expression. \[\begin{array}{*{35}{l}}    \left( \overline{A}\text{ }+\text{ }B\text{ }+\text{ }\overline{C} \right).\text{ }\left( \overline{A}\text{ }+\text{ }B\text{ }+\text{ }\overline{C} \right).\text{ }\left( \overline{A}\text{ }+\text{ }\overline{B}\text{ }+\text{ }C \right).\,\,\left( \overline{A}\text{ }+\text{ }\overline{B}\text{ }+\text{ }\overline{C} \right)  \\    {}  \\ \end{array}\,\,\]

    A) \[\left( A.B.C \right)+\left( \overline{A}.B.C \right)+\left( \overline{A}.\overline{B}.\overline{C} \right)+\left( A.B.\overline{C} \right)\]

    B) \[\left( \overline{A}.\overline{B}.\overline{C} \right)+\left( \overline{A}.\overline{B}.C \right)+\left( \overline{A}.B.\overline{C} \right)+\left( \overline{A}.B.C \right)\]

    C) \[\left( A.\overline{B}.\overline{C}. \right)+\left( A.\overline{B}-C \right)+\left( A.B.C \right)+\left( \overline{A}.\overline{B}.C \right)\]

    D) \[\left( A+\overline{B}+C \right)+\left( A+B+\overline{C} \right)+\left( A+B+C \right)\]

    Correct Answer: B


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