Processor design: Evaluate performance improvement options
Processor X has a clock speed of 2Ghz and takes 1 cycle for integer operations, 2 cycles for memory operations, and 4 cycles for floating point operations. Empirical data shows that programs run on Processor X are typically composed of 35% floating point operations, 30% memory operations, and 35% integer operations.
You are designing Processor Y, and improvement on Processor X which will run the same programs and you have 2 options to improve the performance:
-Increase the clock speed to 2.4Ghz, but memory operations take 3 cycles.
-Decrease the clock speed to 1.8 ghz, but floating point operations only take 3 cycles.
Compute the speedup for options and decide the option Processor Y should take.
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SOLUTION This solution is FREE courtesy of BrainMass!
Average instruction execution time for programs on processor X = 1 * 35% + 2 * 30% + 4 * 35% cycles
= 0.35 + 0.60 + 1.40 cycles
= 2.35 cycles
Average number of program instructions executed per second on processor X = 2 GHz / 2.35 cycles
= 0.8510638298 * 10^9 instructions/second
= 851063829.8 or 851063830 instructions/second (rounded off)
Now, consider first alternative.
Average instruction execution time for programs on processor Y = 1 * 35% + 3 * 30% + 4 * 35% cycles
= 0.35 + 0.90 + 1.40 cycles
= 2.65 cycles
Average number of program instructions executed per second on processor Y = 2.4 GHz / 2.65 cycles
= 0.9056603774 * 10^9 instructions/second
= 905660377.4 or 905660377 instructions/second (rounded off)
Now, consider second alternative.
Average instruction execution time for programs on processor Y = 1 * 35% + 2 * 30% + 3 * 35% cycles
= 0.35 + 0.60 + 1.05 cycles
= 2 cycles
Average number of program instructions executed per second on processor Y = 1.8 GHz / 2 cycles
= 0.9 * 10^9 instructions/second
= 900000000 instructions/second
Both the processor Y alternatives are indeed giving performance improvement over processor X, but the first alternative gives better speedup than second alternative, in terms of more (average) instructions executed per second.
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