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Suppose that a machine has $48-bit$ virtual addresses and $32-bit$ physical addresses.

  1. If pages are $4\: KB$, how many entries are in the page table if it has only a single level? Explain.
  2. Suppose this same system has a $TLB$ (Translation Lookaside Buffer) with $32$ entries. Furthermore, suppose that a program contains instructions that fit into one page and it sequentially reads long integer elements from an array that spans thousands of pages. How effective will the $TLB$ be for this case?
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