Please explain this for Digital Logic Design. Please explain in detailed steps.

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Please use a circuit sketching tool to draw your circuit diagrams. Following is a list of some freely available circuit sketching tools. You may also use any tool of your choice. NO MANUAL DRAWINGS PLEASE http://www.digikey.com/schemeit https://www.circuitlab.com/ 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 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