$1\mathrm{.}3\mathrm{.}1$ to $1\mathrm{.}3\mathrm{.}3$

Consider three different processors, P$1$ P$2$ and P$3,$ executing the same instruction set.

Processor Clock Rate CPI

P$12$ GHz $1\mathrm{.}5$

P$21\mathrm{.}5$ GHz $1\mathrm{.}0$

P$33$ GHz $2\mathrm{.}5$

$1\mathrm{.}3\mathrm{.}1$ Which processor has the highest performance?

$1\mathrm{.}3\mathrm{.}2$ If the processors each execute a program in $10$ seconds, find the number of cycles

and the number of instructions.

$1\mathrm{.}3\mathrm{.}3$ We are trying to reduce the execution time by $30\%$ but this leads to an increase of

$20\%$ in the CPI. What clock rate should we have to get this time reduction?

$1\mathrm{.}3\mathrm{.}4$ to $1\mathrm{.}3\mathrm{.}6$

Processor Clock Rate No$.$ Instructions Time

P$12$ GHz $20*10^97$ s

P$21\mathrm{.}5$ GHz $30*10^910$ s

P$33$ GHz $90*10^99$ s

$1\mathrm{.}3\mathrm{.}4$ Find the IPC $($instructions per cycle$)$ for each processor.

$1\mathrm{.}3\mathrm{.}5$ Find the clock rate for P$2$ that reduces its execution to that of P$1.$

$1\mathrm{.}3\mathrm{.}6$ Find the number of instructions for P$2$ that reduces its execution time to that of P$3.$