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Previous Year Question (PYQs)



A processor chip is used for application in which 30% of execution time is spent on floating point addition. For the new model of the processor, the design team has come up with redesign the floating point adder to make it twice as fast. What will be possible maximum speed up by this redesign?





Solution

Using Amdahl’s law:


Fraction improved = $0.30$


Speedup of improved part = $2$


Overall speedup:


$S = \frac{1}{(1 - 0.30) + \frac{0.30}{2}}$


$S = \frac{1}{0.70 + 0.15}$


$S = \frac{1}{0.85}$


$S = 1.176 \approx 1.18$



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