Question $1(60$ points$).$ The program described below runs on a multiple issue processor with a $3-$

level CPU cache, a $4$ GHz $(1$GHz$=10^9$Hz$)$ clock frequency, and the following performance

metrics: $($IPC: instructions per cycle$)$

Level Miss Penalty R$/$W Data Miss Rate Instruction Miss Rate

L$1$ cache $25\%2\%$

L$2$ cache $52\%1\mathrm{.}3\%$

Main $1000\mathrm{.}3\%0\mathrm{.}1\%$

Instruction Class Instruction Count IPC

Branch$/$Jump $21051\mathrm{.}1$

Load$/$Store $4\mathrm{.}11040\mathrm{.}9$

Arithmetic $3\mathrm{.}61061\mathrm{.}5$

Float Add $5\mathrm{.}51050\mathrm{.}25$

a$).(15$ pts$)$ What is the base CPU time of the program $($without consider the memory stall time$)?$

b$).(15$ pts$)$ What is the amount of time $($in second$)$ consumed by memory$-$stall clock cycles? Assume

equal read$/$write miss penalty and negligible write buffer stalls. $($Hint: Memory stall cycles $=$ Memory

accesses $*$ miss rate $*$ miss penalty$)$

c$).(15$ pts$)$ What is the total CPU time of the program $($in second$)?($Hint: CPU time $=($CPU execution

cycles $+$ Memory stall cycles$)/$ clock rate$)$

d$).(15$ pts$)$ What percentage of CPU time was taken by memory stall cycles?