In a k-way set associative cache, the cache is divided into v sets, each of whic

ID: 3540955 • Letter: I

Question

In a k-way set associative cache, the cache is divided into v sets, each of which consists of k lines. The lines of a set are placed in sequence one after another. The lines in set s are sequenced before the lines in set (s+1). The main memory blocks are numbered 0 onwards. The main memory block numbered j must be mapped to any one of the cache lines from

( j mod v ) * k to ( j mod v ) * k + (k - 1) ( j mod v ) to ( j mod v ) + (k - 1) ( j mod k ) to ( j mod k ) + (v - 1) ( j mod k ) * v to ( j mod k ) * v + (v - 1)

Explanation / Answer

( j mod k ) to ( j mod k ) + (v - 1)

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In a k-way set associative cache, the cache is divided into v sets, each of whic

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