6. [15 marks] During the 20th century, several computer quantities increased exp

Question

6. [15 marks] During the 20th century, several computer quantities increased exponentially with time. Let's say that computer performance increased by a factor of 1.4 every year, while power dissipation increased by a factor of 1.8 every year. If performance in year 'y' is 3 TFs/s, and power dissipation in year 'y' is 4 GWs, calculate the following quantities after ten years. (Your computer may have melted). K = 10^3

a) [5 marks] performance = ______ TFs/s

b) [5 marks] power = ______ GWs

c) [5 marks] performance/power = ______ Fs/s/W

Explanation / Answer

Given performance in year 'y' = 3 TFs/s

power dissipation in year 'y' = 4 GWs

So the following quantities after ten years----->

a) performance = 3*(1.4)10 = 86.7763964928 TFs/s

b) power = 4*(1.8)10 = 1428.18689065 GWs

c) performance/power

= (86.7763964928 TFs/s)/(1428.18689065 GWs)

= (86.7763964928*1012 )/(1428.18689065*109)

= 60.76 Fs/s/W

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