Digital electronics miscellaneous


Digital electronics miscellaneous

Digital Electronics

  1. Number of NAND gates are required to realize the function—
    F = ( X + Y). (Z + W)









  1. View Hint View Answer Discuss in Forum

    In order to solve such type of problem first reduce any from into to SOP (sum of product from).
    F = ( X + Y). (Z + W)
    or F = XY(Z + W)
    or F = XYZ + XYW
    So, the number of NAND gate requirement is equal to 4.


    Correct Option: B

    In order to solve such type of problem first reduce any from into to SOP (sum of product from).
    F = ( X + Y). (Z + W)
    or F = XY(Z + W)
    or F = XYZ + XYW
    So, the number of NAND gate requirement is equal to 4.



  1. By inspecting the Karnaigh map plot of the switching function F (X1, X2, X3) = Σm (1, 3, 6, 7), one can say that the redundant prime implicant is—









  1. View Hint View Answer Discuss in Forum

    Given, F (X1, X2, X3) = ∑ m (1, 3, 6, 7)
    From K-map. The redundant prime implicant is X2, X3.


    Correct Option: B

    Given, F (X1, X2, X3) = ∑ m (1, 3, 6, 7)
    From K-map. The redundant prime implicant is X2, X3.




  1. Which the Boolean function
    F (X1, X2, X3) = Σ(0,1, 2, 3) + ∑d (4, 5, 6, 7) is minimized?









  1. View Hint View Answer Discuss in Forum

    Given, F (X1, X2, X3) = Σ(0,1, 2, 3) + ∑d (4, 5, 6, 7)
    From K-map, we get F (X1, X2, X3 )= 1


    Correct Option: A

    Given, F (X1, X2, X3) = Σ(0,1, 2, 3) + ∑d (4, 5, 6, 7)
    From K-map, we get F (X1, X2, X3 )= 1



  1. For the logic circuit given. Which is the simplified Boolean function?











  1. View Hint View Answer Discuss in Forum

    X = A + (A + B) (C + B)
    or X = A + AC + BC + AB + B
    or X = A (1 + C) + BC + B (A + 1)
    or X = A + BC + B
    or X = A + B (1 + C)
    or X = A + B [Since 1 + C = 1]


    Correct Option: B

    X = A + (A + B) (C + B)
    or X = A + AC + BC + AB + B
    or X = A (1 + C) + BC + B (A + 1)
    or X = A + BC + B
    or X = A + B (1 + C)
    or X = A + B [Since 1 + C = 1]




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











  1. View Hint View Answer Discuss in Forum

    From given K-map F = A + BC


    Correct Option: A

    From given K-map F = A + BC