Advanced Microprocessors
- 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.
- 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.
- 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.
- 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.
- (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.
