Boolean Algebra and Logic Simplification - General Questions

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Boolean Algebra and Logic Simplification - General Questions

1.

Which of the following combinations cannot be combined into K-map groups?

A.	corners in the same row
B.	corners in the same column
C.	diagonal
D.	overlapping combinations

Answer: Option C

Explanation:

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2.

The expression W(X + YZ) can be converted to SOP form by applying which law?

A.	associative law
B.	commutative law
C.	distributive law
D.	none of the above

Answer: Option C

Explanation:

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3.

Determine the binary values of the variables for which the following standard POS expression is equal to 0. mcq4_01500u

A.	(0 + 1 + 0)(1 + 0 + 1)
B.	(1 + 1 + 1)(0 + 0 + 0)
C.	(0 + 0 + 0)(1 + 0 + 1)
D.	(1 + 1 + 0)(1 + 0 + 0)

Answer: Option A

Explanation:

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4.

Which of the examples below expresses the commutative law of multiplication?

A.	A + B = B + A
B.	AB = B + A
C.	AB = BA
D.	AB = A × B

Answer: Option C

Explanation:

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5.

An OR gate with schematic "bubbles" on its inputs performs the same functions as a(n)________ gate.

A.	NOR
B.	OR
C.	NOT
D.	NAND

Answer: Option D

Explanation:

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6.

Which of the following is an important feature of the sum-of-products (SOP) form of expression?

A.	All logic circuits are reduced to nothing more than simple AND and OR gates.
B.	The delay times are greatly reduced over other forms.
C.	No signal must pass through more than two gates, not including inverters.
D.	The maximum number of gates that any signal must pass through is reduced by a factor of two.

Answer: Option C

Explanation:

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7.

Applying DeMorgan's theorem to the expression mcq4_00500 , we get ________.

A.
B.
C.
D.

Answer: Option A

Explanation:

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8.

Which of the examples below expresses the distributive law of Boolean algebra?

A.	(A + B) + C = A + (B + C)
B.	A(B + C) = AB + AC
C.	A + (B + C) = AB + AC
D.	A(BC) = (AB) + C

Answer: Option B

Explanation:

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