Please attend to questions 1 , 2 and 3

Assignment 2 Question 1 a) Simplify the following expression 14] F A+ AB ABCABCD ABCDE b) Write the Boolean expression for this logic gate circuit, and then reduce that lcable Boolean laws and theorems expression to its simplest form using any appli Finally, draw a new gate circuit diagram based on the simplified Boolean expression that performs the exact same logic function. c) Suppose we wished to have an AND gate for some logic purpose, but did not have any AND gates on hand. Instead, we only had NOR gates in our parts collection. Draw a diagram whereby multiple NOR gates are connected together to form an AND gate. 14] y+ d) Give the logic gate implementation of Use DeMorgan's Theorem, as well as any other applicable rules of Boolean algebra, to simplify the following expression so there are no more complementation bars extending over multiple variables e) AB +AC Question 2 I am not concerned about the very poor. I am not concerned about the very rich. I am concerned about the rest a) Let P(x) mean x is very poor. Let R(x) mean x is very rich. Let C(x) mean Romney is Concerned about x. You can assume that the domain consists of the very poor, the very rich, and the rest. Translate what Romney said into predicate logic 14] b) Convert the following into predicate logic 12] Every student takes at least one course Only one student failed BITHI11