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Deduplication can introduce high indexing overhead and many studies have focused on reducing the indexing overhead in deduplication. In this question, we study the indexing

Deduplication can introduce high indexing overhead and many studies have focused on reducing the indexing overhead in deduplication. In this question, we study the indexing issues in deduplication. Suppose that we fix the chunk size as 4KB, use SHA-256 for chunk fingerprinting, and store the chunks in 64-bit address space. Note that the data units are assumed to be in power of 2.
A) keeping a full fingerprint index in memory is expensive in memory usage. What is the memory size for the fingerprint index to support the physical storage space of 10TB? Derive your answer.

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