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Boolean Algebra and Logic Simplification - General Questions (3)

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Boolean Algebra and Logic Simplification - General Questions

17. 

The Boolean expression mcq5_1031_1 is logically equivalent to what single gate?

A. NAND
B. NOR
C. AND
D. OR

Answer: Option A

Explanation:

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18. 

A Karnaugh map is a systematic way of reducing which type of expression?

A. product-of-sums
B. exclusive NOR
C. sum-of-products
D. those with overbars

Answer: Option C

Explanation:

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19. 

Converting the Boolean expression LM + M(NO + PQ) to SOP form, we get ________.

A. LM + MNOPQ
B. L + MNO + MPQ
C. LM + M + NO + MPQ
D. LM + MNO + MPQ

Answer: Option D

Explanation:

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20. 

The truth table for the SOP expression mcq4_01900 has how many input combinations?

A. 1
B. 2
C. 4
D. 8

Answer: Option D

Explanation:

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21. 

The NAND or NOR gates are referred to as "universal" gates because either:

A. can be found in almost all digital circuits
B. can be used to build all the other types of gates
C. are used in all countries of the world
D. were the first gates to be integrated

Answer: Option B

Explanation:

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22. 

Occasionally, a particular logic expression will be of no consequence in the operation of a circuit, such as a BCD-to-decimal converter. These result in ________terms in the K-map and can be treated as either ________ or ________, in order to ________ the resulting term.

A. don't care, 1s, 0s, simplify
B. spurious, ANDs, ORs, eliminate
C. duplicate, 1s, 0s, verify
D. spurious, 1s, 0s, simplify

Answer: Option A

Explanation:

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23. 

Use Boolean algebra to find the most simplified SOP expression for F = ABD + CD + ACD + ABC + ABCD.

A. F = ABD + ABC + CD
B. F = CD + AD
C. F = BC + AB
D. F = AC + AD

Answer: Option A

Explanation:

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24. 

When grouping cells within a K-map, the cells must be combined in groups of ________.

A. 2s
B. 1, 2, 4, 8, etc.
C. 4s
D. 3s

Answer: Option B

Explanation:

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