Memory Hierarchy Q.78

78In an enhancement of a design of a CPU, the speed of a floating point unit has been increased by 20% and the speed of a fixed point unit has been increased by 10%. What is the overall speedup achieved if the ratio of the number of floating point operations to the number of fixed point operations is 2 : 3 and the floating point operation used to take twice the time taken by the fixed point operation in the original design?

Option : A
Explanation : Time taken by the original design
= (2n * 2t) + (3n * t)
= 7nt
Time taken by enhanced design
= (2n * 2t /1.2) + (3n * t/1.1)
= 6.06 nt
Speed up = 7 nt/6.06 nt
= 1.155

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