Question: Considering a paging-based VAS (Virtual Address Space), assume that addresses are 64-bit and pages occupy 1KB (210 bytes). In addition, entries in any level of

Considering a paging-based VAS (Virtual Address Space), assume that addresses are 64-bit and pages occupy 1KB (210 bytes). In addition, entries in any level of a page table spans 4 bytes.

  1. If the implementation maintains a linear page table (single level), how many bits are used for representing VPNs (Virtual Page Numbers)?

  2. Again, if the implementation maintains a linear page table, how many pages does this page table use?

  3. If the implementation maintains a page directory (2-level page table) to keep track of page table pages, how many bits are needed for representing page directory indices?

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