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