Virtual Memory

Essay

Virtual Memory
(a) 32-bit Virtual Address Spaces. Consider a machine with 32-bit virtual addresses, 32-bit physical addresses, and a 4KB page size. Consider a two-level page table system where each table occupies one full page. Assume each page table entry is 32 bits long. To map the full virtual address space, how much memory will be used by the page tables?
(b) 64-bit Virtual Address Spaces. A two-part question.
Consider a machine with a 64-bit virtual addresses, 64-bit physical addresses, and a 4MB page size. Consider a two-level page table system where each table occupies one full page. Assume each page table entry is 64 bits long. To map the full virtual address space, how much memory will be used by the page tables? (Hint: you will need more than 1 top-level page table. For this question this is okay.)