Computer Science: Give the correct answer with the correct work being shown   You have been asked to implement a digital circuit. This circuit consists of three inputs (X1, X2, and M) and one output (OUT). When M equals 1, OUT will equal the Boolean OR of X1 and X2. If M equals 0, OUT will equal the Boolean AND of X1 and X2. a. Construct a truth table to describe the behavior of the circuit. b. Write the sum-of-products for OUT. c. Provide an implementation of your sum-of-products. You are to use AND, NOT, and NOR gates only.

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