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Consider a direct mapped cache with 256 blocks. Initially, the cache is empty.

The following sequence of access to memory blocks is: {0, 128, 256, 128, 0, 128, 256, 128, 1, 129, 257, 129, 1, 129, 257, 129}.

Find the number of compulsory and conflict misses for the cache.

Answer :

Final answer:

In a direct mapped cache with 256 blocks, given the sequence of memory blocks accessed, there would be 6 compulsory misses and 6 conflict misses.

Explanation:

In computer architecture, there are two types of cache misses: compulsory misses, which occur the first time a memory block is accessed and conflict misses, which occur due to collisions in a set of a cache even if those blocks have been previously loaded into cache. Considering a direct mapped cache with 256 blocks and sequence of memory blocks being accessed, here's how we calculate the misses.

In this scenario, memory blocks {0, 128, 256, 1, 129, 257} would each cause a compulsory miss as these are the first accesses. Hence, total compulsory misses are 6.

The sequence repeats, block 128 is accessed after 256 (128 slot), causing a conflict miss. The same happens with 0 after 128, and then again 1 after 257. This sequence is repeated, meaning that there are a total of 6 conflict misses.

So, from this sequence of accesses to memory blocks, we can deduce that the number of compulsory misses is 6 and the number of conflict misses is also 6.

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