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Given the Boolean function : F(P, Q, R, S) = Π (0, 1, 3, 5, 7, 8, 9, 10, 11, 14, 15)

(i) Reduce the above expression by using 4-variable K-Map, showing the various groups (i.e. octal, quads and pairs).

(ii) Draw the logic gate diagram of the reduced expression. Assume that the variables and their complements are available as inputs.

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F(P,Q,R,S) = Π (0,1,3,5,7,8,9,10,11,14,15)

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