1.(25 POINTS) 1.A) (15 POINTS) Create the truth table for the following circuit (5 POINTS). Then simplify the output using K-map and write down the simplified Boolean expression for the output (10 POINTS) 2:1 MUX 0-F 1.B.) (10 POINTS) Design a binary to octal converter using a 3:8 decoder. Please provide the truth table and draw the circuit diagram for your design