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1. 4 chairs (a,b,c, and d) are placed in a circle: a next to b, b next to c,c next to d, and d next to a. Each chair may be occupied (1) or empty (0). Give the minterm and maxterm expansion for each of the logic functions in decimal notation: (a)f(a,b,c,d) is 1 iff there are no adjacent empty chairs; (b) g(a,b,c,d) is 1 iff there are at least 3 adjacent empty chairs; (c) F(a,b,c,d) is 1 iff at least 3 chairs are full; (d) G(a,b,c,d) is 1 iff there are more people sitting in chairs a and b than chairs c and d