Memory Management with paging

Question

In the method of paging in the operating system memory management issues. when we have 64 byte for Pages ,why 6 bit needed?

 111111 ==> 63
 1000000 => 64

Answer 1

Using 6 bits you can represent maximum 64 pages(0-63) in binary. As one single bit can take only two values 0 or 1,so for 6 bits you have 2*2*2*2*2*2 or 2⁶ different permutations.Every permutation will identify a different page.