$($Q$\mathrm{.}4)$ The results of the SPEC CPU$2006$ bzip$2$ benchmark running on $($Q$\mathrm{.}4)$ The results of the SPEC CPU$2006$ bzip$2$ benchmark running on an AMD Barcelona has

an instruction count of $3\mathrm{.}5E12,$ an execution time of $650s,$ and a reference time of $9650s.$

$4.$a$)$ Find the CPI if the clock cycle time is $0\mathrm{.}4ns,$ and the SPECratio.

$4.$b$)$ Find the increase in CPU time if the number of instructions of the benchmark is

increased by $20\%$ without affecting the CPI. Find the change in the SPECratio for

this change.

$4.$c$)$ Find the increase in CPU time if the number of instructions of the benchmark is

increased by $5\%$ and the CPI is increased by $10\%.$ Find the change in the SPECratio

for this change.

$4.$d$)$ Suppose that we are developing a new version of the AMD Barcelona processor with

a $5GHz$ clock rate. We have added some additional instructions to the instruction

set in such a way that the number of instructions has been reduced by $15\%.$ The

execution time is reduced to $600s$ and the new SPECratio is $16\mathrm{.}08.$ Find the new

CPI. How does this CPI value compare to the original $($in $3.$a$)?$ Is this change in

CPI similar to that on the clock rate? Why? By how much has the CPU time been

reduced?an AMD Barcelona has

an instruction count of $3\mathrm{.}5$E$12,$ an execution time of $650$ s$,$ and a reference time of $9650$s$.$

$4.$a$)$ Find the CPI if the clock cycle time is $0\mathrm{.}4$ ns$,$ and the SPECratio.

$4.$b$)$ Find the increase in CPU time if the number of instructions of the benchmark is

increased by $20\%$ without affecting the CPI. Find the change in the SPECratio for

this change.

$4.$c$)$ Find the increase in CPU time if the number of instructions of the benchmark is

increased by $5\%$ and the CPI is increased by $10\%.$ Find the change in the SPECratio

for this change.

$4.$d$)$ Suppose that we are developing a new version of the AMD Barcelona processor with

a $5$ GHz clock rate. We have added some additional instructions to the instruction

set in such a way that the number of instructions has been reduced by $15\%.$ The

execution time is reduced to $600$ s and the new SPECratio is $16\mathrm{.}08.$ Find the new

CPI. How does this CPI value compare to the original $($in $3.$a$)?$ Is this change in

CPI similar to that on the clock rate? Why? By how much has the CPU time been

reduced?