Question $5$

$20$ pts

Clock

$5-$Stage Pipeline System

A computer pipeline has $5$ stages and each stage has $90$ PS processing time and $10$ PS latching delay time.

Note $1GHz$ clock means $1000,000,000$ clock cycles per second, each cycle is $1000$ PS$.$

Answer the following $5$ questions by filling the $5$ blanks with numeric answers. If you answer has a fraction.enter only one digit of the fraction, i$.$e$.33\mathrm{.}333$ should be entered as $33\mathrm{.}3.$

Total execution time for one instruction to complete through the $5-$stage pipeline is PS$.$

Total execution time for one instruction to complete without a pipeline $(1-$stage processor$)$ is $$ PS$.$

Once the pipe is full, what is the throughput of the pipeline, meaning an instruction will complete every $$ PS$.$

What is the $5-$stage pipeline speedup over the $1-$stage, that is Speedup $=\frac{T}{t}=,$ where $T$ is the execution time without the pipeline and $t$ is the execution throughput with the pipeline.

What should be the maximum frequency of the pipeline clock if every stage takes one cycle $GHz.$