Advanced Microprocessors


Advanced Microprocessors

  1. Given Boolean theorem AB + A′C + BC = AB + A′C which of the following is true?









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    For the given Boolean theorem
    AB + A′C + BC = AB + A′C
    Apply dual property, we get:
    (A + B) (A′ + C) (B + C) = (A + B) (A′ + C)
    Hence alternative (A) is the correct answer.

    Correct Option: A

    For the given Boolean theorem
    AB + A′C + BC = AB + A′C
    Apply dual property, we get:
    (A + B) (A′ + C) (B + C) = (A + B) (A′ + C)
    Hence alternative (A) 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—









  1. View Hint View Answer Discuss in Forum

    Apply the concept used in above problem.

    Correct Option: C

    Apply the concept used in above problem.



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









  1. View Hint View Answer Discuss in Forum

    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. (A′ + B′ + C′)′ is equal to—









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    = (A′ + B′ + C′)′
    = A′′. B′′. C′′
    = ABC
    Hence (B) is the correct alternative.

    Correct Option: B

    = (A′ + B′ + C′)′
    = A′′. B′′. C′′
    = ABC
    Hence (B) is the correct alternative.