Minimization Techniques – Exercise – 1

16. Which of the following expressions is in the sum-of-products (SOP) form?

(a) (A + B)(C + D)
(b) (A)B(CD)
(c) AB(CD)
(d) AB + CD

Answer
Answer : (d)
Explanation
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17. Convert the following SOP expression to an equivalent POS expression.

(a)
(b)
(c)
(d)

Answer
Answer : (b)
Explanation
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18. From the truth table below, determine the standard SOP expression.

(a)
(b)
(c)
(d)

Answer
Answer : (d)
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19. 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
Answer : (a)
Explanation
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20. Which of the following is an important feature of the sum-of-products (SOP) form of expression?

(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.

Answer
Answer : (c)
Explanation
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