GATE CS 2022 Set 1 — Question 33

NAT+1 / -0MediumCache NumericalsMemory Hierarchy & CacheComputer Organization & Architecture

Computer Organization & Architecture → Memory Hierarchy & Cache → Cache Numericals

Last updated 5 September 2026

Question

A cache memory that has a hit rate of 0.8 has an access latency 10 ns and miss penalty 100 ns. An optimization is done on the cache to reduce the miss rate. However, the optimization results in an increase of cache access latency to 15 ns, whereas the miss penalty is not affected. The minimum hit rate (rounded off to two decimal places) needed after the optimization such that it should not increase the average memory access time is_____________.

T_{avg}

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T_{avg}

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2^{32}