Design and implement the following function using the smallest possible multiplexer: F (x, y, z,w) = (1,2,5,7,8,10,11,13,15) What will be the size of Multiplexer to implement the above function? Show all steps including the truth table and implementation to design the above circuit. Use x variable as an input of the multiplexer, and the rest of variables as selector lines. Lab experiment: Implement the above function in Logisim using a Multiplexer. Multiplexer can be found under plexer in the library. Similar to a decoder the characteristics of a multiplexer such as its size can be modified if needed. Compare the functionality of the circuit with what you found in pre-lab.