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Digital Electronics
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Boolean Algebra and Logic Simplification
Comments
Question
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.
Correct Answer
Karnaugh maps provide a cookbook approach to simplifying Boolean expressions.
Boolean Algebra and Logic Simplification problems
Search Results
1. Which is the correct logic function for this PAL diagram?
Options
A.
B.
C.
D.
Show Answer
Scratch Pad
Discuss
Correct Answer:
2. Derive the Boolean expression for the logic circuit shown below:
Options
A.
B.
C.
D.
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Discuss
Correct Answer:
3. 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
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Correct Answer:
A
(
B
+
C
) =
AB
+
AC
4. Applying DeMorgan's theorem to the expression
, we get ________.
Options
A.
B.
C.
D.
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Correct Answer:
5. 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
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Correct Answer: all of the above
6. 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
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Correct Answer:
AB
=
BA
7. Applying DeMorgan's theorem to the expression
, we get ________.
Options
A.
B.
C.
D.
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Correct Answer:
8. When
are the inputs to a NAND gate, according to De Morgan's theorem, the output expression could be:
Options
A.
X
=
A
+
B
B.
C.
X
= (
A
)(
B
)
D.
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Correct Answer:
X
=
A
+
B
9. Applying the distributive law to the expression
, we get ________.
Options
A.
B.
C.
D.
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Correct Answer:
10. Applying DeMorgan's theorem to the expression
, we get ________.
Options
A.
B.
C.
D.
Show Answer
Scratch Pad
Discuss
Correct Answer:
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