Question: (Using consensus, simplify the boolean expression AB + AC + BC + BCShow all work for full credit. Obtain the truth table for the boolean

(Using consensus, simplify the boolean expression AB + AC + BC + BCShow all work for full credit.

Obtain the truth table for the boolean functionF(X,Y,Z) = (XY + Z)(Y + XZ)Also, give the standard sum-of-products(SOP) as well as the standard product-of-sums(POS) expressions for the function.

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