The diagram shown below is a four-input (s1,s0,a,b), two-output (x,y) combinational switching circuit. The inputs s1 and s0 are the control inputs, the inputs a and b are the data inputs. The circuit behaves as follows:

if s1s0 = 00, the a input is broadcast to x and y, meaning that the a input appears on both x and y.

if s1s0 = 01, the b input is broadcast to x and y.

if s1s0 = 10, a and b pass straight through to x and y.

If s1s0 = 11, a and b are switched with a being routed to y and b being routed to x.

Draw the truth table for this circuit.

Using Karnaugh maps, show the simplified functions for x and y.

Draw the resulting combinational circuit.

Draw a black box diagram for this circuit.

Show your work