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Digital Electronics
‣
Boolean Algebra and Logic Simplification
Comments
Question
Applying DeMorgan's theorem to the expression
, we get ________.
Options
A.
B.
C.
D.
Correct Answer
Boolean Algebra and Logic Simplification problems
Search Results
1. What is the primary motivation for using Boolean algebra to simplify logic expressions?
Options
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
Show Answer
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Discuss
Correct Answer: all of the above
2. When grouping cells within a K-map, the cells must be combined in groups of ________.
Options
A. 2s
B. 1, 2, 4, 8, etc.
C. 4s
D. 3s
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Correct Answer: 1, 2, 4, 8, etc.
3. Which of the following expressions is in the sum-of-products (SOP) form?
Options
A. (
A
+
B
)(
C
+
D
)
B. (
A
)
B
(
CD
)
C.
AB
(
CD
)
D.
AB
+
CD
Show Answer
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Discuss
Correct Answer:
AB
+
CD
4. The 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
5. An AND gate with schematic "bubbles" on its inputs performs the same function as a(n)________ gate.
Options
A. NOT
B. OR
C. NOR
D. NAND
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Discuss
Correct Answer: NOR
6. Which of the examples below expresses the distributive law of Boolean algebra?
Options
A. (
A
+
B
) +
C
=
A
+ (
B
+
C
)
B.
A
(
B
+
C
) =
AB
+
AC
C.
A
+ (
B
+
C
) =
AB
+
AC
D.
A
(
BC
) = (
AB
) +
C
Show Answer
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Discuss
Correct Answer:
A
(
B
+
C
) =
AB
+
AC
7. Derive the Boolean expression for the logic circuit shown below:
Options
A.
B.
C.
D.
Show Answer
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Discuss
Correct Answer:
8. Which is the correct logic function for this PAL diagram?
Options
A.
B.
C.
D.
Show Answer
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Discuss
Correct Answer:
9. Which statement below best describes a Karnaugh map?
Options
A. A Karnaugh map can be used to replace Boolean rules.
B. The Karnaugh map eliminates the need for using NAND and NOR gates.
C. Variable complements can be eliminated by using Karnaugh maps.
D. Karnaugh maps provide a cookbook approach to simplifying Boolean expressions.
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Correct Answer: Karnaugh maps provide a cookbook approach to simplifying Boolean expressions.
10. Which of the examples below expresses the commutative law of multiplication?
Options
A.
A
+
B
=
B
+
A
B.
AB
=
B
+
A
C.
AB
=
BA
D.
AB
=
A
×
B
Show Answer
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Discuss
Correct Answer:
AB
=
BA
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