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Boolean Algebra and Logic Simplification - General Questions (4)

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Boolean Algebra and Logic Simplification - General Questions

25. 

Applying DeMorgan's theorem to the expression mcq4_00700, we get ________

A. mca4_0070a
B. mca4_0070b
C. mca4_0070c
D. mca4_0070d

Answer: Option A

Explanation:

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26. 

Which Boolean algebra property allows us to group operands in an expression in any order without affecting the results of the operation [for example, A + B = B + A]?

A. associative
B. commutative
C. Boolean
D. distributive

Answer: Option B

Explanation:

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27. 

When mcq5_1014_1are the inputs to a NAND gate, according to De Morgan's theorem, the output expression could be:

A. X = A + B
B. mca5_1014b1
C. X = (A)(B)
D. mca5_1014d1

Answer: Option A

Explanation:

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28. 

AC + ABC = AC

A. True
B. False

Answer: Option A

Explanation:

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29. 

How many gates would be required to implement the following Boolean expression after simplification? XY + X(X + Z) + Y(X + Z)

A. 1
B. 2
C. 4
D. 5

Answer: Option B

Explanation:

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30. 

What is the primary motivation for using Boolean algebra to simplify logic expressions?

A. It may make it easier to understand the overall function of the circuit.
B. It may reduce the number of gates.
C. It may reduce the number of inputs required.
D. all of the above

Answer: Option D

Explanation:

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31. 

Determine the values of A, B, C, and D that make the product term mcq4_00200 equal to 1.

A. A = 0, B = 1, C = 0, D = 1
B. A = 0, B = 0, C = 0, D = 1
C. A = 1, B = 1, C = 1, D = 1
D. A = 0, B = 0, C = 1, D = 0

Answer: Option A

Explanation:

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32. 

How many gates would be required to implement the following Boolean expression before simplification? XY + X(X + Z) + Y(X + Z)

A. 1
B. 2
C. 4
D. 5

Answer: Option D

Explanation:

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