(1) (a) (i) Show that the NOR gate is universal ()Identify the gate that is the dual of the NOR gate. (b) Draw the circuit for F-XYZ + XZ + X using only OR and NOT gates. Show the calculations that led you to your answer (2) Use an appropriate decoder and OR gates to implement the boolean functions: F-ABC + ABC + ABC + ABC and G-ABC+ ABC. Explain your answer clearly