Exercise 3. [10 marks] Consider the switching network shown below. A switching net- work passes directs different inputs to different outputs based on specified control signal. The switching network presented has 4 inputs, 4 outputs, and 4 possible states based on two control signals. Give a Boolean formula (not necessarily DNF) for each of the outputs (w, x, y, z). Consider each output as a single Boolean variable, that is, ignore each variable's bit-width. SS. 0 1 SS 0 1 32 32 a 32 7 32 Z a 32 32 b y b 32 Z 32 32 32 w 32 32 32 - 32 32 32 d w d S.S. SS. 1 0 1 1 32 32 32 z a Z 32 32 32 32 a 32 bH 32 32 d b 32 y X 32 32 32 32 32 w d W