Question 17085 – NTA UGC NET JUNE-2023 Paper-2

To calculate the maximum possible speedup due to the redesign of the floating-point adder, we can use Amdahl’s Law. Amdahl’s Law describes the potential speedup of a system based on the portion of the computation that can be improved.

Amdahl’s Law formula for speedup (S) is:

S = 1 / (1 – P + (P / F))

Where:

S is the speedup factor.
P is the fraction of the execution time that benefits from the improvement.
F is the factor by which this portion is improved.

In this case, we are given that 30% of the execution time is spent on floating-point addition, and the design team has made it twice as fast, which means F = 2. P is 0.3 (30%).
So, the possible maximum speedup by this redesign is approximately 1.18. The correct answer is 1.18.