You are on the design team for a new processor. The clock of the processor runs at $500$ MHz$.$ The following table gives instruction frequencies for Benchmark B$,$ as well as how many cycles the instructions take, for the different classes of instructions. The CPU execution time on the benchmark is exactly $11$ seconds. The hardware expert says that if you double the number of registers, the cycle times must be increased by $20\%.$ Assume that the processor only executes one instruction at a time.

Instruction Type

Frequency

Cycles

Loads & Stores

$30\%$

$9$ cycles

Arithmetic Instructions

$45\%$

$6$ cycles

All Others

$25\%$

$3$ cycles

How many CPU seconds will the benchmark take, if we double the number of registers

$($considering both changes described above$)?$

Hint:Calculate the Instruction count for $11$ seconds and then find out how many Load and Store

instructions are processed and then cut it down to half. Finally apply CPU time formula on the new

IC$,$ cpi and clock rate values