Given the cache access time is 200 ns and the memory access time is 400 ns. If the effective a

step 1 Given the cache access time is 200 nanoseconds and the memory access time is 40090 seconds, if t

Given the cache access time is 200 ns and the memory access...

Given the cache access time is $200 \mathrm{~ns}$ and the memory access time is $400 \mathrm{~ns}$. If the effective access time is $20 \%$ greater than the cache access time, what is the hit ratio?
(A) $80 \%$
(B) $20 \%$
(C) $40 \%$
(D) $100 \%$

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Key Concepts

Effective Access Time (EAT)

Effective Access Time is a measure of the overall speed of a memory system, calculated as the weighted average of the access times of different memory levels. It takes into account the proportion of accesses that hit the fast memory (cache) and those that miss and require access to slower memory. This metric helps in evaluating the performance impact of memory hierarchies.

Hit Ratio

Hit ratio is the fraction or percentage of memory accesses that are serviced from the cache rather than the slower main memory. A higher hit ratio means that more data is being retrieved from the faster cache, which generally leads to improved system performance. It is a key parameter in determining the effective access time within a memory hierarchy.

Memory Hierarchy

Memory hierarchy is an organizational structure designed to balance performance and cost by using different types of memory with varying speeds and sizes. It typically includes registers, multiple levels of cache, main memory, and secondary storage. The interaction between these levels, especially the utilization of fast caches to mitigate slower main memory accesses, is crucial for overall system efficiency.

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