Multi-level page tables - hierarchical paging

Question

Example question from a past operating system final, how do I calculate this kind of question?

A computer has a 64-bit virtual address space and 2048-byte pages. A page

Answer 1

• Logical Address bit=64,
• Number of page will be= 2^64/2048 = 2^64/2^11 = 2^53
• Pages we have entry sine of page table= 4 Byte ,
• Number of Entry in 1 Page will be= 2048/4=>512,
• bit To represent one Entry=Log(512)=9bit,
• and bit for Page is= 53bit
• Therefore Number of Level =53/9=>6 Level Page Table