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Can someone tell me what is the actual meaning of cache access / memory access time ?

Is it the time to fetch a word/byte from cache or is it the time to search the cache or is it the sum of both?

If it's the time to fetch a byte then why do we add this time in hierarchical access ? It's not the searching time right?
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Its the sum of both
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it is the time required to fetch a byte from cache . search time generally mention explicitly . if not mention we ignore search time.

we can say search time is implicit in access time , it is there but not mention.
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