Problem 1. (10 Points) Build the truth table for the following logical diagram. You must show all intermediates in your truth table to get full credits. Problem 2. (10 Points) Obtain a Boolean expression for the output, U, in the logical diagram in problem 1 in terms of the inputs A, B, C, D. (Hint: You should obtain an expression for the output U by considering the logic function of each gate) Problem 3. (10 Points) Using the minterms to obtain the expression that represents the output, U, in the logical diagram in problem 1