Simplify the following Boolean function in sum-of-products form by means of a four-variable map. Draw the logic

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Simplify the following Boolean function in sum-of-products form by means of a four-variable map. Draw the logic diagram with 

(a) AND-OR gates; 

(b) NAND gates. 

F(A, B, C, D) = ∑ (0, 2, 8, 9, 10, 11, 14, 15)

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