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Suppose that a machine has $438-bit$ virtual addresses and $32-bit$ physical addresses.

1. What is the main advantage of a multilevel page table over a single-level one?
2. With a two-level page table, $16-KB$ pages, and $4-byte$ entries, how many bits should be allocated for the top-level page table field and how many for the next level page table field? Explain.
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