Solution

Concept:

Speed up factor is defined as the ratio of time required for non-pipelined execution to that of time received for pipelined execution.

Data:

Time for non-pipelined execution per task = t_n = 50 ns

Time for pipelined execution per task =  tp = 10 ns

Number of stages in the pipeline = k = 6

Number of tasks = 500

Formula

\(S = \frac{{{T_n}}}{{{T_p}}}\)

S = speed up factor

Calculation:

Time for non-pipelined = Tn = t_n × Number of tasks

Time for non-pipelined = T_n =  50 × 500

Time for pipelined = Tp​ = 1st task × k × t_p + (All Remaining Tasks (k - 1)) × t_p

Time for pipelined = Tp​ =  1 × 6 × 10 + (500 - 1) × 10

\(S = \frac{{T_n}}{{T_p}} = 4.95\)