Which of the following expressions is in the sum-of-products (SOP) form? Y = (A

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Question
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.

Correct Answer

Logic Circuit Simplification problems

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4. 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.

6. 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

7. 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)

8. 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

9. Logically, the output of a NOR gate would have the same Boolean expression as a(n):
Options
A. NAND gate immediately followed by an INVERTER
B. OR gate immediately followed by an INVERTER
C. AND gate immediately followed by an INVERTER
D. NOR gate immediately followed by an INVERTER

10. The commutative law of addition and multiplication indicates that:
Options
A. the way we OR or AND two variables is unimportant because the result is the same
B. we can group variables in an AND or in an OR any way we want
C. an expression can be expanded by multiplying term by term just the same as in ordinary algebra
D. the factoring of Boolean expressions requires the multiplication of product terms that contain like variables

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