Suppose your cache system has three level caches and here is the system$$s properties:

Size

Miss Rate

Hit Time $($cycle$)$

L$1$ cache

$10$KiB

$20\%($local miss$)$

$1$

L$2$ cache

$100$KiB

$40\%($local miss$)$

$5$

L$3$ cache

$1$MiB

$5\%($global miss$)$

$10$

Main Memory

$4$GiB

$0\%$

$100$

Hint:

Local miss rates refer to the percentage of accesses reaching that level cache that miss in that cache $($i$.$e$.,$ if the local miss rate for L$2$ cache is $50\%,$ then half of the accesses that reach the L$2$ cache miss in the L$2$ cache$)$

Global miss rates refer to the percentage of total accesses that miss at that level cache $($i$.$e$.,$ if the global miss rate for L$2$ cache is $50\%,$ then half of all memory accesses miss in the L$2$ cache$)$

Flag question: Question $12$

Question $121$ pts

Question $4\mathrm{.}1$

What is the percentage of total accesses that hit in the L$2$ cache?

Hint:

It might be easier to think about this problem in terms of a fraction of $100$ total accesses