Digital electronics miscellaneous


Digital electronics miscellaneous

Digital Electronics

  1. Which of the following statement is not correct?









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    Given X + XY = X
    But X + XU = X + U
    Hence option (A) is not correct.
    X ( X + Y) = XX + XY = XY → correct
    X + XY = X (1 + Y) = X → correct
    ZX + ZXY = Z [X + Y] = ZX + ZY → correct

    Correct Option: A

    Given X + XY = X
    But X + XU = X + U
    Hence option (A) is not correct.
    X ( X + Y) = XX + XY = XY → correct
    X + XY = X (1 + Y) = X → correct
    ZX + ZXY = Z [X + Y] = ZX + ZY → correct


  1. Consider a multiplexer with X and Y as data inputs and Z as control input, Z = 0 selects input X and Z = 1 selects input Y. What are the connections required to realize the 2-variable Boolean function f = T + R, without using, any additional hardware?









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    Given that multiplexer input X and Y Z as a control line
    By the defination of 2 × 1 Mux, we get
    f = ZX + ZY.... (i)
    and required output
    f = T + R.... (ii)
    on comparing equations (i) and (ii) we get
    R = X, Y = 1 and T = Z


    Correct Option: A

    Given that multiplexer input X and Y Z as a control line
    By the defination of 2 × 1 Mux, we get
    f = ZX + ZY.... (i)
    and required output
    f = T + R.... (ii)
    on comparing equations (i) and (ii) we get
    R = X, Y = 1 and T = Z




  1. For the circuit shown below the counter state (Q1 Q0) follow the sequence—











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    NA

    Correct Option: B

    NA


  1. The minimized expression for the given K-map (X = don't care) is—











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    From given K-map F = A + BC


    Correct Option: A

    From given K-map F = A + BC




  1. The characteristic equation of an R-S flip-flop with activeHIGH inputs is given by—









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    The characteristic equation of an RS flip-flop with active-HIGH inputs is given by
    Qn + 1 = S + R′Qn

    Correct Option: C

    The characteristic equation of an RS flip-flop with active-HIGH inputs is given by
    Qn + 1 = S + R′Qn