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Consider a Boolean expression given by F(X,Y,Z) = Σ(3,5,6,7). Which of the following statements is/are CORRECT ?

1. F(X,Y,Z) = Π(0,1,2,4)
2. F(X,Y,Z) = XY + YZ + XZ
3. F(X,Y,Z) is independent of input Y
4. F(X,Y,Z) is independent of input X

Correct answer: F(X,Y,Z) = XY + YZ + XZ

Solution

The correct option is right because the expression F(X,Y,Z) = XY + YZ + XZ accurately represents the minterms 3, 5, 6, and 7 in the given Boolean function, confirming its equivalence to the specified sum of products.

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