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JEE Main & Advanced Physics Semiconducting Devices Question Bank Critical Thinking

  • question_answer
    The diagram of a logic circuit is given below. The output F of the circuit is represented by

    A)            \[W.(X+Y)\]

    B)            \[W\cdot \,(X\cdot Y)\]

    C)            \[W+(X\cdot Y)\]

    D)            \[W+(X+Y)\]

    Correct Answer: C

    Solution :

                       Output of upper OR gate = W + X Output of lower OR gate = W + Y Net output F = (W + X) (W + Y) = WW + WY + XW + XY            (Since WW = W) = W(1 + Y) + XW + XY              (Since 1 + Y= 1) = W + XW + XY = W (1 + X) + XY = W + XY 


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