Question #2: Multiplexer Word Problem (15 pts) Using one 4:1 Mux and additional gates, if needed, design a logic network that indicates an output (Z) equal to 1 if its four Excess-3 coded BCD inputs (A, B, C, D) represent a valid code-word having a decimal value less than 5. The network also sets the output equal to 1 if the number of 1's in an invalid code word is more than 2. All other input patterns, otherwise, generate an output equal to 0. The select inputs of the Mux are connected to the inputs A (the MSB) and B, and the output of the Mux represents the output (Z) of the logic network. Solve the problem by neatly drawing a Karnaugh map (do not write a separate truth table) to represent the output function Z(A,B,C,D) on the map. Write the equations for the four Data Inputs of the Mux. Draw a neat diagram showing all components of the logic network