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Digital Electronics
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Boolean Algebra and Logic Simplification
Comments
Question
Which output expression might indicate a product-of-sums circuit construction?
Options
A.
B.
C.
D.
Correct Answer
Boolean Algebra and Logic Simplification problems
Search Results
1. From the truth table below, determine the standard SOP expression.
Options
A.
B.
C.
D.
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Correct Answer:
2. Which of the following combinations cannot be combined into K-map groups?
Options
A. corners in the same row
B. corners in the same column
C. diagonal
D. overlapping combinations
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Correct Answer: diagonal
3. Determine the binary values of the variables for which the following standard POS expression is equal to 0.
Options
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)
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Correct Answer: (0 + 1 + 0)(1 + 0 + 1)
4. Mapping the standard SOP expression
, we get
Options
A. (A)
B. (B)
C. (C)
D. (D)
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Correct Answer: (B)
5. Use Boolean algebra to find the most simplified SOP expression for
F
=
ABD
+
CD
+
ACD
+
ABC
+
ABCD
.
Options
A.
F
=
ABD
+
ABC
+
CD
B.
F
=
CD
+
AD
C.
F
=
BC
+
AB
D.
F
=
AC
+
AD
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Correct Answer:
F
=
ABD
+
ABC
+
CD
6. The expression W(X + YZ) can be converted to SOP form by applying which law?
Options
A. associative law
B. commutative law
C. distributive law
D. none of the above
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Correct Answer: distributive law
7. One of De Morgan's theorems states that
. Simply stated, this means that logically there is no difference between:
Options
A. a NOR and an AND gate with inverted inputs
B. a NAND and an OR gate with inverted inputs
C. an AND and a NOR gate with inverted inputs
D. a NOR and a NAND gate with inverted inputs
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Correct Answer: a NOR and an AND gate with inverted inputs
8. Implementing the expression AB + CDE using NAND logic, we get:
Options
A. (A)
B. (B)
C. (C)
D. (D)
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Correct Answer: (A)
9. A 4-variable AND-OR circuit produces a 0 at its Y output. Which combination of inputs is correct?
Options
A. A = 0, B = 0, C = 1, D = 1
B. A = 1, B = 1, C = 0, D = 0
C. A = 1, B = 1, C = 1, D = 1
D. A = 1, B = 0, C = 1, D = 0
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Correct Answer: A = 1, B = 0, C = 1, D = 0
10. One possible output expression for an AND-OR-Invert circuit having one AND gate with inputs A, B, and C and one AND gate with inputs D and E is ________.
Options
A.
B.
C.
D.
Show Answer
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Correct Answer:
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