(b) Consider the following combinatorial circuit with three inputs x, y and z, and one output f(x, y, z): y f(x,y,z) z i. Write the output f(x, y, z) in its disjunctive normal form. ii. Fill in the missing output value in the following table: x y y f(x,y,z) 0 0 0 0 0 1 0 1 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 [ iii. Show that f(x, y, z). can be simplified to f(x, y, z) = x(y + 7) iv. Draw the simplified circuit equivalent to f(x, y, z)