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Digital Electronics
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Boolean Algebra and Logic Simplification
Comments
Question
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
Correct Answer
diagonal
Boolean Algebra and Logic Simplification problems
Search Results
1. 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)
Show Answer
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Correct Answer: (0 + 1 + 0)(1 + 0 + 1)
2. Mapping the standard SOP expression
, we get
Options
A. (A)
B. (B)
C. (C)
D. (D)
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Correct Answer: (B)
3. 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
Show Answer
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Correct Answer:
F
=
ABD
+
ABC
+
CD
4. Mapping the SOP expression
, we get ________.
Options
A. (A)
B. (B)
C. (C)
D. (D)
Show Answer
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Correct Answer: (B)
5.
AC
+
ABC
=
AC
Options
A. True
B. False
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Correct Answer: True
6. From the truth table below, determine the standard SOP expression.
Options
A.
B.
C.
D.
Show Answer
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Correct Answer:
7. Which output expression might indicate a product-of-sums circuit construction?
Options
A.
B.
C.
D.
Show Answer
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Correct Answer:
8. 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
9. 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
Show Answer
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Correct Answer: a NOR and an AND gate with inverted inputs
10. Implementing the expression AB + CDE using NAND logic, we get:
Options
A. (A)
B. (B)
C. (C)
D. (D)
Show Answer
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Discuss
Correct Answer: (A)
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