Boolean Algebra – Exercise – 1

41. How many gates would be required to implement the following Boolean expression after simplification? XY + X(X + Z) + Y(X + Z)

(a) 1
(b) 2
(c) 4
(d) 5

Answer
Answer : (b)
Explanation
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42. How many gates would be required to implement the following Boolean expression before simplification? XY + X(X + Z) + Y(X + Z)

(a) 1
(b) 2
(c) 4
(d) 5

Answer
Answer : (d)
Explanation
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43. Determine the binary values of the variables for which the following standard POS expression is equal to 0.

(a) (0 + 1 + 0)(1 + 0 + 1)
(b) (1 + 1 + 1)(0 + 0 + 0)
(c) (0 + 0 + 0)(1 + 0 + 1)
(d) (1 + 1 + 0)(1 + 0 + 0)

Answer
Answer : (a)
Explanation
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44. Which is the correct logic function for this PAL diagram?

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

Answer
Answer : (c)
Explanation
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45. Applying DeMorgan’s theorem and Boolean algebra to the expression results in ________.

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

Answer
Answer : (d)
Explanation
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