Question $3$:

In this exercise, we will examine how capacity affects overall performance. In general, cache access time is proportional to capacity. Assume that main memory accesses take $100$ ns and that memory accesses are $38\%$ of all instructions. The following table shows data for L$1$ caches attached to each of two processors, P$1$ and P$2.$

L$1$ Size L$1$ Miss Rate L$1$ Hit Time

P$12$ KB $9\mathrm{.}0\%0\mathrm{.}50$ ns

P$24$ KB $7\mathrm{.}25\%0\mathrm{.}8$ ns

a$.$ Assuming that the L$1$ hit time determines the cycle times for P$1$ and P$2,$ what are their respective clock rates?

b$.$ What is the Average Memory Access Time for P$1$ and P$2?$

c$.$ Assuming a base CPI of $1\mathrm{.}0$ without any memory stalls, what is the total CPI for P$1$ and P$2?$

Which processor is faster?Question $3$:

In this exercise, we will examine how capacity affects overall performance. In general, cache access

time is proportional to capacity. Assume that main memory accesses take $100ns$ and that memory

accesses are $38\%$ of all instructions. The following table shows data for L$1$ caches attached to each

of two processors, P$1$ and P$2.$

a$.$ Assuming that the L$1$ hit time determines the cycle times for P$1$ and P$2,$ what are their

respective clock rates?

b$.$ What is the Average Memory Access Time for P$1$ and P$2?$

c$.$ Assuming a base CPI of $1\mathrm{.}0$ without any memory stalls, what is the total CPI for P$1$ and P$2?$

Which processor is faster?