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Digital Electronics
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Boolean Algebra and Logic Simplification
Comments
Question
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
Correct Answer
NOR
Boolean Algebra and Logic Simplification problems
Search Results
1. Derive the Boolean expression for the logic circuit shown below:
Options
A.
B.
C.
D.
Show Answer
Scratch Pad
Discuss
Correct Answer:
2. Which Boolean algebra property allows us to group operands in an expression in any order without affecting the results of the operation [for example,
A
+
B
=
B
+
A
]?
Options
A. associative
B. commutative
C. Boolean
D. distributive
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Correct Answer: commutative
3. Which of the following is an important feature of the sum-of-products (SOP) form of expression?
Options
A. All logic circuits are reduced to nothing more than simple AND and OR gates.
B. The delay times are greatly reduced over other forms.
C. No signal must pass through more than two gates, not including inverters.
D. The maximum number of gates that any signal must pass through is reduced by a factor of two.
Show Answer
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Discuss
Correct Answer: No signal must pass through more than two gates, not including inverters.
4. Applying DeMorgan's theorem to the expression
, we get ________
Options
A.
B.
C.
D.
Show Answer
Scratch Pad
Discuss
Correct Answer:
5. The Boolean expression
is logically equivalent to what single gate?
Options
A. NAND
B. NOR
C. AND
D. OR
Show Answer
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Discuss
Correct Answer: NAND
6. 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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Discuss
Correct Answer: 8
7. 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
8. 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.
9. 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
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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