Speed

Question 1
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 speedup by this redesign?
A
2.0
B
1.06
C
1.18
D
2.5
Question 1 Explanation: 
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.
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