$\backslash$table$[[$C$3.,,],[,$St$,$S$2,$S$3,$S$4,55,,,],[11,2,1,1,1,2,,,],[12,1,3,2,2,2,,,],[13,2,1,1,3,1,,,],[14,1,2,2,2,2,,,],[15,3,1,2,2,2,,,]]$

Consider a $5$ stage pipeline processor to perform the following operations. The number of cyyles needed by the five instruction in the different stages of S$1,$ S$2,$ S$3,$ S$4,$ S$5$ is shown in the table.

a$)$ Sketch the clock gycle diagram $(5)$

b$)$ identify the noeded number of cycles to execute the ingurtctions $(2)$

c$)$ Calculate the actual cycle time in the above pipelined design $(3)$