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Boolean Algebra and Logic Simplification problems
1. The NAND or NOR gates are referred to as "universal" gates because either:
Options
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
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Correct Answer: can be used to build all the other types of gates
2. Convert the following SOP expression to an equivalent POS expression.
Options
A.
B.
C.
D.
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Correct Answer:
3. For the SOP expression
, how many 0s are in the truth table's output column?
Options
A. zero
B. 1
C. 4
D. 5
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Correct Answer: 4
4. An OR gate with schematic "bubbles" on its inputs performs the same functions as a(n)________ gate.
Options
A. NOR
B. OR
C. NOT
D. NAND
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Correct Answer: NAND
5. Converting the Boolean expression LM + M(NO + PQ) to SOP form, we get ________.
Options
A. LM + MNOPQ
B. L + MNO + MPQ
C. LM + M + NO + MPQ
D. LM + MNO + MPQ
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Correct Answer: LM + MNO + MPQ
6. How many gates would be required to implement the following Boolean expression before simplification? XY + X(X + Z) + Y(X + Z)
Options
A. 1
B. 2
C. 4
D. 5
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Correct Answer: 5
7. For the SOP expression
, how many 1s are in the truth table's output column?
Options
A. 1
B. 2
C. 3
D. 5
Also asked in:
Bank Exams
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Correct Answer: 3
8. The systematic reduction of logic circuits is accomplished by:
Options
A. using Boolean algebra
B. symbolic reduction
C. TTL logic
D. using a truth table
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Correct Answer: using Boolean algebra
9. Determine the values of A, B, C, and D that make the product term
equal to 1.
Options
A. A = 0, B = 1, C = 0, D = 1
B. A = 0, B = 0, C = 0, D = 1
C. A = 1, B = 1, C = 1, D = 1
D. A = 0, B = 0, C = 1, D = 0
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Correct Answer: A = 0, B = 1, C = 0, D = 1
10. The commutative law of addition and multiplication indicates that:
Options
A. we can group variables in an AND or in an OR any way we want
B. an expression can be expanded by multiplying term by term just the same as in ordinary algebra
C. the way we OR or AND two variables is unimportant because the result is the same
D. the factoring of Boolean expressions requires the multiplication of product terms that contain like variables
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Correct Answer: the way we OR or AND two variables is unimportant because the result is the same
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More in Digital Electronics:
Boolean Algebra and Logic Simplification
Code Converters and Multiplexers
Combinational Logic Analysis
Combinational Logic Circuits
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Ex-OR and Ex-NOR Gates
Flip-Flops
Integrated-Circuit Logic Families
Integrated Circuit Technologies
Interfacing to the Analog World
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