[40 pts.] Question 2: The Majority Circuit For this question, you are asked to construct a circuit for the following Boolean function The function takes three inputs: a, b, c The function has one output: out The function outputs 1 (i.e., True) if and only if the majority of its inputs are 1 (ie., True). Otherwise, it outputs O (i.e., False). [15 pts.] Question 2a Write the truth table for the above Boolean function. Remember: This function has 3 inputs, and, hence, your table will have more rows than your answer from question (1a). [25 pts.] Question 2b Draw a logic circuit for the truth table from (2a). You must construct your circuit using the sum-of-products algorithm for full credit. We strongly recommend (but do not require) that you first write the logical expression (i.e., formula) as we did in class, and then convert the formula to a circuit