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Logic Circuit Simplification
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Question
Which of the examples below expresses the commutative law of multiplication?
Options
A. A + B = B + A
B. A ? B = B + A
C. A ? (B ? C) = (A ? B) ? C
D. A ? B = B ? A
Correct Answer
A ? B = B ? A
Logic Circuit Simplification problems
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1. The systematic reduction of logic circuits is accomplished by:
Options
A. symbolic reduction
B. TTL logic
C. using Boolean algebra
D. using a truth table
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Correct Answer: using Boolean algebra
2. Which statement below best describes a Karnaugh map?
Options
A. It is simply a rearranged truth table.
B. The Karnaugh map eliminates the need for using NAND and NOR gates.
C. Variable complements can be eliminated by using Karnaugh maps.
D. A Karnaugh map can be used to replace Boolean rules.
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Correct Answer: It is simply a rearranged truth table.
3. The Boolean expression
is logically equivalent to what single gate?
Options
A. NAND
B. NOR
C. AND
D. OR
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Correct Answer: NAND
4. What is the resultant binary of the decimal problem 49 + 1 =?
Options
A. 01010101
B. 00110101
C. 00110010
D. 00110001
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Correct Answer: 00110010
5. What is the difference between binary coding and binary coded decimal?
Options
A. Binary coding is pure binary.
B. BCD is pure binary.
C. Binary coding has a decimal format.
D. BCD has no decimal format.
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Correct Answer: Binary coding is pure binary.
6. Which output expression might indicate a product-of-sums circuit construction?
Options
A.
B.
C.
D.
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Correct Answer:
7. Which of the following expressions is in the sum-of-products (SOP) form?
Options
A. Y = (A + B)(C + D)
B. Y = AB(CD)
C.
D.
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Correct Answer:
8. One of DeMorgan's theorems states that
. Simply stated, this means that logically there is no difference between:
Options
A. a NAND gate and an AND gate with a bubbled output
B. a NOR gate and an AND gate with a bubbled output
C. a NOR gate and a NAND gate with a bubbled output
D. a NAND gate and an OR gate with a bubbled output
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Correct Answer: a NOR gate and an AND gate with a bubbled output
9. Which of the examples below expresses the distributive law of Boolean algebra?
Options
A. A ? (B ? C) = (A ? B) + C
B. A + (B + C) = (A ? B) + (A ? C)
C. A ? (B + C) = (A ? B) + (A ? C)
D. (A + B) + C = A + (B + C)
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Correct Answer: A ? (B + C) = (A ? B) + (A ? C)
10. The observation that a bubbled input OR gate is interchangeable with a bubbled output AND gate is referred to as:
Options
A. a Karnaugh map
B. DeMorgan's second theorem
C. the commutative law of addition
D. the associative law of multiplication
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Correct Answer: DeMorgan's second theorem
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