Computer Measurements

Objectives: Learn how to apply various measurements associated with a computer.

Put all answers on this sheet. Show your work $($this is required for full credit and helpful for partial

credit$).$ The assignment is due by $11$:$59$ pm on $1/30/24.$

$1.$ Machine A can perform $4$ tasks in $11$ seconds. Machine B can perform $2$ tasks in $5$ seconds.

Which machine can perform a single task faster? About how much faster is this machine than the

other? $(20$ points$)$

$2.$ How much gigahertz $($GHz$)$ is $0.4($THz$)?(15$ points$)$

$3.$ Consider a machine with a $1\mathrm{.}5$ MHz clock rate. If a program on this machine requires an average

of $6$ cycles per instruction and executes a total of $25,000,000$ instructions, what is the CPU time

required by this program, in seconds? $(25$ points$)$

$4.$ The portion of time a program spends performing floating$-$point operations is $40\%.$ A new

floating$-$point co$-$processor would perform floating$-$point operations $4$ times as fast. Given that the

execution time of some program was $75$ seconds without the new floating$-$point co$-$processor, what

would you expect the execution time of the program to be with the new floating$-$point co$-$processor,

in seconds? $(25$ points$)$

$5.$ Suppose the clock period of some machine is $200$ nanoseconds. What is the clock rate in

gigahertz $($GHz$)?(15$ points$)$