(a) A benchmark program takes 60 seconds to finish on a machine, with floating point arithmetic representing 80% of the fime. The hardware engineering team plans to optimize floating point arithmetic of the machine by a factor of 4. What is the expected overall improvement of speed? (clearly show your steps) (b) It turns out that the hardware team is only able to optimize the floating-point arithmetic by a factor of 3. To remedy the shortfall, the software team now wants to adjust the proportion of floating-point arithmetic in the program so as to still achieve the performance improvement claimed in (a) above. What is the needed final proportion of floating-point arithmetic in the benchmark program? (Clearly show your steps)

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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(a) A benchmark program takes 60 seconds to finish on a machine, with floating point
arithmetic representing 80% of the time. The hardware engineering team plans to
optimize floating point arithmetic of the machine by a factor of 4. What is the expected
overall improvement of speed? (clearly show your steps)
(b) It turns out that the hardware team is only able to optimize the floating-point arithmetic
by a factor of 3. To remedy the shortfall, the software team now wants to adjust the
proportion of floating-point arithmetic in the program so as to still achieve the
performance improvement claimed in (a) above. What is the needed final proportion
of floating-point arithmetic in the benchmark program? (Clearly show your steps)
Transcribed Image Text:(a) A benchmark program takes 60 seconds to finish on a machine, with floating point arithmetic representing 80% of the time. The hardware engineering team plans to optimize floating point arithmetic of the machine by a factor of 4. What is the expected overall improvement of speed? (clearly show your steps) (b) It turns out that the hardware team is only able to optimize the floating-point arithmetic by a factor of 3. To remedy the shortfall, the software team now wants to adjust the proportion of floating-point arithmetic in the program so as to still achieve the performance improvement claimed in (a) above. What is the needed final proportion of floating-point arithmetic in the benchmark program? (Clearly show your steps)
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