Problem 1 (25 points) Consider the circuit below. 1. Write an expression for F 2. Which canonical (standard form) is your expression (a) sum of products or (b) product of sums. 3. Construct a truth table for F from your knowledge of the expression or the circuit 4. From the truth table write F in the other canonical form from the one in (2). 5. Implement the same function using a multiplexer (MUX). Label all inputs and outputs and provide a name for the multiplexer in the form of n-to-m MUX, where n and m are appropriate numbers for this problem. function using a decoder. Label all inputs and outputs and provide a 6. Implement the same name for the decoder in the form of p-to-q Decoder, where p and q are appropriate numbers for this problem. 7. Which of the two components required in in (5) and (6) may can be used to implement more than one function or output or a circuit. To answer this choose from @) multiplexer (i) decoder or (iii) both multiplexer and decoder Note: One of your circuit implementations in (5) and (6) may require a gate in addition to the component you are asked to use