Question1 a) Simplify the following expression F = A + AB + ABC + ABCD + ABCDE b) Write the Boolean expression for this logic gate circuit, and then reduce that to its simplest form using any applicable Boolean laws and theorems. expression 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. 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