1. (i Draw and explain functionality of 3 basic gates, 2 universal gates, XOR and XNOR gates. Show that an OR gate can be implemented using only NAND gates. (ii) Given the basic identities of Boolean algebra, prove that A'B + B'C + AC,-AB, + BC' + A'C 2. Given the basic identities of Boolean algebra, prove that (i) (A + C)(A' + B)(B + C)s BC, ifAB :: 0 and A + B (ii) ABC + BC'D' +BC +C'D B+C'D. 1