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Welcome to the Boolean Algebra and Modeling Computations MCQs Page

Dive deep into the fascinating world of Boolean Algebra and Modeling Computations with our comprehensive set of Multiple-Choice Questions (MCQs). This page is dedicated to exploring the fundamental concepts and intricacies of Boolean Algebra and Modeling Computations, a crucial aspect of Discrete Mathematics. In this section, you will encounter a diverse range of MCQs that cover various aspects of Boolean Algebra and Modeling Computations, from the basic principles to advanced topics. Each question is thoughtfully crafted to challenge your knowledge and deepen your understanding of this critical subcategory within Discrete Mathematics.

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Check out the MCQs below to embark on an enriching journey through Boolean Algebra and Modeling Computations. Test your knowledge, expand your horizons, and solidify your grasp on this vital area of Discrete Mathematics.

Note: Each MCQ comes with multiple answer choices. Select the most appropriate option and test your understanding of Boolean Algebra and Modeling Computations. You can click on an option to test your knowledge before viewing the solution for a MCQ. Happy learning!

Boolean Algebra and Modeling Computations MCQs | Page 6 of 7

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Q51.
What is the maximum number of prime implicants with 34-variable minimized expression?

a.

34

b.

764

c.

2³³

d.

2³¹

Discuss
Answer: (c).2³³
Q52.
How many cells are there for an 8-variable K-Map?

a.

421

b.

1048

c.

256

d.

375

Discuss
Answer: (c).256
Q53.
Determine the number of essential prime implicants of the function f(a, b, c, d) = Σm(1, 3, 4, 8, 10, 13) + d(2, 5, 7, 12), where m denote the minterm and d denotes the don’t care condition.

a.

2³

b.

3

c.

643

d.

128

Discuss
Answer: (b).3
Q54.
How many number of prime implicants are there in the expression F(x, y, z) = y’z’ + xy + x’z.

a.

7

b.

19

c.

3

d.

53

Discuss
Answer: (c).3
Q55.
f(x, y, z) = xy’+yz’+xyz, what are essential prime implicants of this switching function?

a.

8

b.

0

c.

4

d.

3

Discuss
Answer: (b).0
Q56.
How many essential prime implicants are there in the K-Map of the function F = Σ(0, 1, 2, 4, 7, 11, 12, 13, 15)?

a.

4

b.

1

c.

3

d.

7

Discuss
Answer: (b).1
Q57.
Determine the number of prime implicants of the following function F?

F(a, b, c, d) = Σm(1, 3, 7, 9, 10, 11, 13, 15)

a.

621

b.

187

c.

3⁵

d.

5

Discuss
Answer: (d).5
Q58.
For an 18-variable k-map determine the number of prime implicants?

a.

2¹⁸

b.

35

c.

253

d.

721

Discuss
Answer: (a).2¹⁸
Q59.
How many false essential prime implicants for the given Boolean functions f(A, B, C) = ∑m(2, 5, 6)?

a.

1024

b.

2

c.

16

d.

435

Discuss
Answer: (b).2
Q60.
How many minimal forms are there in the function F(A, B, C) = ∑(1, 3, 2, 5, 6, 7) if it is having cyclic prime implicants k-map?

a.

216

b.

2

c.

14

d.

82

Discuss
Answer: (b).2
Page 6 of 7

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