$1.$ A CPU has a frequency of $2\mathrm{.}8$ GHz$.$ What is the cycle time?

$2.$ The manufacturer claims this computer can perform $3$ floating point instructions per cycle, or $7\mathrm{.}6$ general purpose instructions per cycle. What are the MFLOPS and MIPS scores? $(2$ answers$)$

$3.$ If a program running on this computer uses $20\%$ floating point instructions and $80\%$ general purpose

instructions, what is its theoretical average CPI?

$4.$ The program while running has $267$ million cache hits and $8$ million cache misses. What are the hit rate and miss rates?

$5.$ The memory system on this machine runs at $900$ MHz$.$ It has a $64-$bit wide data bus, and can make two data transfers per cycle. What is the maximum memory bandwidth?

$6.$ A cache hit requires only $3$ CPU clock cycles to access data, while a cache miss causes a stall requiring $18$ memory clock cycles to retrieve the data. Using the hit and miss rates from part d$),$ what is the effective average memory access time.