Consider a system with a TLB $($Translation Lookaside Buffer$)$ that has the following characteristics:

The TLB can hold $64$ entries.

The hit time for the TLB is $1$ cycle.

The miss penalty $($time to access the page table and update the TLB$)$ is $100$ cycles.

The page table lookup requires $20$ cycles.

The memory access time is $10$ cycles.

The system has the following statistics over a given period:

The total number of memory accesses is $1,000,000.$

The number of TLB misses is $10,000.$

$2\mathrm{.}1$ Calculate the TLB miss rate. $(5$ pts$)$

$2\mathrm{.}2$ Calculate the effective memory access time $($EMAT$)$ given the above information. $(5$ pts$)$

$2\mathrm{.}3$ Explain how increasing the number of TLB entries might impact the overall system performance. $(5$ pts$)$