Instruction Type Frequency $(\%)$ CPI

Int Ops $26\mathrm{.}71\mathrm{.}3$

FP Ops $18\mathrm{.}94\mathrm{.}7$

Mem Ops $37\mathrm{.}13\mathrm{.}1$

Branch Ops $16\mathrm{.}12\mathrm{.}4$

Miscellaneous Ops $1\mathrm{.}21\mathrm{.}8$

$($a$)$ If you are designing the next generation CPU for this system, how much would

you need to improve the floating$-$point performance to yield a $5\%$ overall CPU

execution time reduction?

$($b$)$ In the limiting case, how much faster could you make the system by only

improving floating point operations. $($Note: We often use limit cases as a means

to gauge upper$/$lower bounds $$ they are not physically realizable