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Andrew S. Tanenbaum (OS) Edition 4 Exercise 3 Question 25 (Page No. 256)

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A computer with an $8-KB$ page, a $256-KB$ main memory, and a $64-GB$ virtual address space uses an inverted page table to implement its virtual memory. How big should the hash table be to ensure a mean hash chain length of less than $1?$ Assume that the hash table size is a power of two.
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