4. [4 marks] Prove that the dual of the exclusive - . b. [3 marks) Simplify ABC+ABC+ABCE+AB ' CD using basic identities of Boolean algebra. c. [3 marks] By using truth table method, prove that (A+B)=AB is true, where A and B are two binary variables. d. [2 marks ] Write the duality form of the equation ABC+BCD+BC+CD=B+CD. e. [3 marks] Using the KMap, simplify the following expression AB+A+BC+AB. Note that you need to provide the K-Map and draw the circuit