Question $2$ Consider two different implementations P$1$ and P$2$ of the same instruction set

architecture. The instructions can be divided into $4$ classes according to their CPI $($classes A$,$

B$,$ C$,$ and D$).$ P$1$ has a clock frequency of $2\mathrm{.}5$GHz and the CPIs of the $4$ classes of instructions

are $1,2,3,$ and $4.$ P$2$ has a clock frequency of $3$GHz and the CPIs of the four classes of

instructions are $4,3,2,$ and $1.$ Consider a program with $1$ million instructions with $10\%$

instructions of Class A$,20\%$ of class B$,50\%$ of class C and $20\%$ class D$.$

a$)$ Which implementation P$1$ or P$2$ is faster? Express your answer as a speed up$,$ i$.$e$.$ P$1$ is

faster than P$2$ by X$\%$ or vice$-$versa.

b$)$ Now consider making the slower machine faster. That is$,$ supposing you find P$2$ is

slower than P$1,$ what can you do$,$ so that P$2$ becomes faster than P$1,$ without changing

the clock frequency of either processor or the overal instruction count.