Varad and Game of Bits

Varad likes to play alot of games involving numbers. He defines one as follows. He gives his rival Abizer a number N and asks him to convert it into its binary representation. As it is Varad's game, he always starts. He chooses any two consecutive bits and performs any one of the following operations: 1. Bitwise OR(|) 2. Bitwise AND(&) The two selected bits are replaced by the result of the ope