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4. (15 points) Consider a paged virtual memory system with 4k pages, 8 byte page table entries, 48 bit addresses, and hierarchical page tables with

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4. (15 points) Consider a paged virtual memory system with 4k pages, 8 byte page table entries, 48 bit addresses, and hierarchical page tables with one page of page table or page directory entries at ables are required in this system? Show virtual each level of the memory hierarchy. How many levels of page t how each portion of the virtual address is used to index into each level of the paging hierarchy with this virtual address size

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