Problems in this exercise refer to the following sequence of instructions, and assume that it is executed on a five$-$stage pipelined datapath:a$.[5$ points$]$ If there is no forwarding or hazard detection, insert NOPs to ensure correct execution.b$.[10$ points$]$ Now, change andlor rearrange the code to minimize the number of NOPs needed. You can assume register x$17$ can be used to hold temporary values in your modified code.c$.[10$ points$]$ If the processor has forwarding, but we forgot to implement the hazard detection unit, what happens when the original code executes?d$.[20$ points$]$ If there is forwarding, for the first seven cycles during the execution of this code, specify which signals are asserted in each cycle by hazard detection and forwarding units in the figure above.