Consider a system with $2$ level cache. Access times of Level $1$ cache, Level $2$ cache and main memory are $0.5$ ns, $5$ ns and $100$ ns respectively. The hit rates of Level $1$ and Level $2$ caches are $0.7$ and $0.8$ respectively. What is the average access time of the system ignoring the search time within the cache?
[0.5+0.3(5+0.2*100)]
7.55
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