Chapter 12.6, Problem 12.11PP

Explanation of Solution

Solution:

(i) Calculation of speedup ($S_p$):

The speedup ($S_p$) can be calculated using below formula:

${\text{E}}_{\text{P}\text{}}\text{=}\frac{{\text{S}}_{\text{P}}}{\text{p}}$ (1)

Substitute the value of “$E_p$” as “100%” and substitute the value of “P” as “1” in equation (1).

$\begin{array}{c}100\%=\frac{S_p}{1}\\ S_p=1\times \frac{100}{100}\\ S_p=1\end{array}$

Therefore, the value of speedup ($S_p$) is 1.

(ii) Calculation of speedup ($S_p$):

The speedup ($S_p$) can be calculated using below formula:

$E_{P\text{}}=\frac{S_P}{p}$ (1)

Substitute the value of “$E_p$” as “50%” and substitute the value of “P” as “4” in equation (1).

$\begin{array}{c}50\%=\frac{S_p}{4}\\ S_p=4\times \frac{50}{100}\\ S_p=2\end{array}$

Therefore, the value of speedup($S_p$) is 2