1. Repeat problem 4.1 for the function f (x1,..., x4) = M (0, 1, 2, 4, 5, 7, 8, 9, 10, 12, 14, 15).2.Repeat problem 4.1 for the function f (x1,..., x5) = m(1, 4, 6, 7, 9, 10, 12, 15, 17, 19, 20, 23, 25, 26, 27, 28, 30, 31) + D(8, 16, 21, 22).3.circuit with two outputs has to implement the following functions f (x1,..., x4) = m(0, 2, 4, 6, 7, 9) + D(10, 11) g(x1,..., x4) = m(2, 4, 9, 10, 15) + D(0, 13, 14) Design the minimum-cost circuit and compare its cost with combined costs of two circuits that implement f and g separately. Assume that the input variables are available in both uncomplemented and complemented forms.4.Find the minimum-cost circuit for the function f (x1,..., x4) = m(0, 4, 8, 13, 14, 15). Assume that the input variables are available in uncomplemented form only. (Hint: use functional decomposition