Question $4(10$ marks$)$

Consider the execution of a program of $5,000$ instructions by a pipeline processor with a clock rate of $10$ MHz $.$ Assume that the instruction pipeline has four stages and oneinstruction is issued per clock cycle.

$($a$)$ Calculatethespeedup factor using this pipeline to execute the program$($i$.$e$.,$ the ratio of the time taken without using the pipeline design to the time taken with the pipline design$).$

$(6$ marks$)$

$($b$)$ What is the throughput of this pipeline processor in MIPS?