$[15]<1\mathrm{.}6>$ Compilers can have a profound impact on the performance of an

application. A ssume that for a program, compiler A results in a d ynamic instruction

count of $1\mathrm{.}0$E$9$ and has an execution time of $1\mathrm{.}1$ s$,$ while compiler B results in a

d yn amic instruction count of $1\mathrm{.}2$E$9$ and an execution time of $1\mathrm{.}5$ s$.$

a$.$ Find the average CPI for each program given that the processor has a clock cy cle

time of $1$ ns$.$

b $.$ Assume the compiled progr ams run on two different processors. If the execution

times on the two processors are the same, how much faster is the clock of the

processor running compiler A$\text{'}$s code versus the clock of the processor running

compiler B$\text{'}$s code?

c$.$ A new compiler is d eveloped that u ses only $6.$oES instructions and h as an average

CPI of $1.1.$ What is the speedup of u sing this new compiler versus u sing

compiler A or B on the original processor?