Homework IV 1) Find the range of the Boolean function (a) f(x, y) = y 2 (y) (b) f(x,y)=(x y) y Simplify the following Boolean functions (a) f(x, y, z) = (x +y)(x2 + x2 )+ xy +y (b) f(x, y) = (x +y)+ y + xx)(x + y) Build the logic circuits for the following functions a) f(x, y) = (1 - 1)(x) b) f(x, y, z) = (x z). (y) II) Draw a circuit for each of the statements. a) p. (9+p) b) (p+). (q +P) c) Il p+q).r]:P d) Write a sentence that represents a circuit and determine in each one when the switches are going to be closed