Question $3[15$ points$]$

Assume a newly designed microprocessor has $10$ pipeline stages, and it is perfectly pipelined. Answer the following questions:

a$.$ How much speedup the new processor will achieve compared to the non$-$pipelined processor?

b$.$ The new processor has $8$ pipeline stages, and each stage takes $5\mathrm{.}0$ ns to complete. When the following MIPS assembly program is executed, how much faster is the new pipelined processor against a non$-$pipelined processor? $[$Assume the non$-$pipelined processor requires $45$ ns to complete $1$ instruction.$]$

$\backslash$table$[[$Instruction #$,$Instructions,$v$1,$ $t$8,$ $t$4],[2.,$sub,$t$3,$ $t$6,$ $v$1],[3.,$add,$s$4,$ $t$3,$ $t$3],[4.,$nop,$],[5.,$nop,$],[6.,$s$1$t$,$$at$,$ s$4,$ $v$1]]$