How many gates would be required to implement the following Boolean expression a

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Question
How many gates would be required to implement the following Boolean expression after simplification? XY + X(X + Z) + Y(X + Z)
Options
A. 1
B. 2
C. 4
D. 5

Correct Answer

2

Boolean Algebra and Logic Simplification problems

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1. 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

2. 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

7. Determine the values of A, B, C, and D that make the sum term equal to zero.
Options
A. A = 1, B = 0, C = 0, D = 0
B. A = 1, B = 0, C = 1, D = 0
C. A = 0, B = 1, C = 0, D = 0
D. A = 1, B = 0, C = 1, D = 1

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