Apitfall cited in section 1.10 is expecting to improve the overall performance of a computer by improving only one aspect of the computer. consider a computer running a program that requires 250 s, with 70 s spent executing fp instructions, 85 s executed l/s instructions and 40 s spent executing branch instructions

(5 min, sec 1.10)by how much is the total time reduced if the time for fp operations is reduced by 20%?

(5 min, sec 1.10) by how much is the time for int operations reduced if the total time is reduced by 20%?
(5 min, sec 1.10) can the total time be reduced by 20% by reducing only the time for branch instructions?

a) For this case the new time to run the FP operation would be reduced 20% so that means 100-20% =80% from the original time

The reduction on this case is

And since the new total time would be given by

b) For this case the total time is reduced 20%  so that means that the new total time would be (1-0.2)=0.8 times the original total time

The original time for INT operations is calculated as:

For this part the only time that was changed is assumed the INT operations so then:

And then:

c) A reduction of the total time implies that the total time would be 205 s from the results above. And the time for FP is 70, for L/S is 85 and for INT operations is 55 s, so then if we add 70+85+55=210s, we see that 210>205 so then we cannot reduce the total time 20% just reducing the branch intructions.

Explanation:

From the info given we know that a computer running a program that requires 250 s, with 70 s spent executing FP instructions, 85 s executed L/S instructions and 40 s spent executing branch instructions.

Part 1

For this case the new time to run the FP operation would be reduced 20% so that means 100-20% =80% from the original time

The reduction on this case is

And since the new total time would be given by

Part 2

For this case the total time is reduced 20%  so that means that the new total time would be (1-0.2)=0.8 times the original total time

The original time for INT operations is calculated as:

For this part the only time that was changed is assumed the INT operations so then:

And then:

And we can quantify the decrease using the relative change:

of reduction

Part 3

A reduction of the total time implies that the total time would be 205 s from the results above. And the time for FP is 70, for L/S is 85 and for INT operations is 55 s, so then if we add 70+85+55=210s, we see that 210>205 so then we cannot reduce the total time 20% just reducing the branch intructions.

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explanation: