Advanced Microprocessors


Advanced Microprocessors

  1. The dual of Boolean theorem x (y + z) = xy + xz is—









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    Dual means sum terms represents product terms and product term represent sum terms. From the given Boolean theorem the dual of x (y + z) will be x + y.z. Which may be represented as (x + y) (x + z). Hence alternative (C) is the correct answer.

    Correct Option: C

    Dual means sum terms represents product terms and product term represent sum terms. From the given Boolean theorem the dual of x (y + z) will be x + y.z. Which may be represented as (x + y) (x + z). Hence alternative (C) is the correct answer.


  1. If a three variable switching function is expressed as the product of maxterms by—
    f (A, B, C) = ΠM (0, 3, 5, 6)
    then it can also be expressed as the sum of minterms by—









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    Apply the concept used in above problem.

    Correct Option: C

    Apply the concept used in above problem.



  1. The other canonical form of
    f (A, B, C) = Σ m (0, 1, 5, 7) is—









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    Other canonical form means product of sum
    POS, f (A, B, C) = π M (2, 3, 4, 6)
    Hence alternative (A) is the correct answer.

    Correct Option: A

    Other canonical form means product of sum
    POS, f (A, B, C) = π M (2, 3, 4, 6)
    Hence alternative (A) is the correct answer.


  1. The switching function
    f (A, B, C) = (A + B′ + C) (A′ + B′ + C) (A + B′ + C′)
    can also be written as—









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    Question given in maxterm or POS form and options are given in minterm form. So, first we have to convert POS into SOP form.
    (maxterm)′ = minterm

    Leaving 2, 6, 3 rest are maxterm decimal equivalent
    π M (A + B′ + C) (A′ + B′ + C) (A + B′ + C′)
    = Σ m (0, 1, 4, 5, 7)
    Hence alternative (B) is the correct answer.

    Correct Option: B

    Question given in maxterm or POS form and options are given in minterm form. So, first we have to convert POS into SOP form.
    (maxterm)′ = minterm

    Leaving 2, 6, 3 rest are maxterm decimal equivalent
    π M (A + B′ + C) (A′ + B′ + C) (A + B′ + C′)
    = Σ m (0, 1, 4, 5, 7)
    Hence alternative (B) is the correct answer.



  1. The switching function f (A, B, C, D) = Σ m (5, 9, 11, 14) can written as—









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    Σ m (5, 9, 11, 14)

    Hence alternative (A) is the correct answer.

    Correct Option: A

    Σ m (5, 9, 11, 14)

    Hence alternative (A) is the correct answer.