Assume we have a processor P$1$ running at $2$ GHz clock rate. Assume a program

requires the execution of $50\backslash$times $106$ FP $($Floating Point$)$ instructions, $80\backslash$times $106$

INT $($integer$)$

instructions, $110\backslash$times $106$ L$/$S $($Load$/$Store$)$ instructions, and $16\backslash$times $106$ branch instructions. The

CPI for each type of instruction is $1,1,4,2,$ respectively.

$($a$)(5$ points$)$ What is the average CPI for this program on this processor P$1?$ What is the

CPU time for P$1$ to run this program?

$($b$)(5$ points$)$ By how much must we improve the CPI of FP $($Floating Point$)$ instructions if

we want the program to run two times faster?

$($c$)(5$ points$)$ By how much must we improve the CPI of L$/$S $($Load$/$Store$)$ instructions if we

want the program to run two times faster?

$($d$)(5$ points$)$ By how much is the execution time of the program improved if the CPI of INT

$($integer$)$ and FP $($Floating Point$)$ instructions are reduced by $40\%$ and the CPI of L$/$S

$($Load$/$Store$)$ and Branch is reduced by $30\%?$

$($e$)(10$ points$)$ Assume we have another proccessor P$2$ that has the same ISA as P$1,$ running at

$2\mathrm{.}5$ GHz$.$ The CPI for each type of instruction is $3,3,3,2,$ respectively. Which processor

is faster in running this program? What is the speedup over the other processor?