Question

5. If a processor clock ticks 4 billion times in a second and has a frequency of 1.5 GHz, with each clock tick, one or more instructions may complete, if a program runs on 3 GHz processor for 7 seconds, how many clock cycles did it run for? (10 points)

If a program runs for 2 billion clock cycles on a 1.5 GHz processor, what is the execution time in seconds? (10 points)

Answer 1

Before answering, please note that processor frequency is generally equal to the frequency of the internal clock. But in the question, it is mentioned to be different, so I am taking that into consideration in that question.

If the processor ticks 4B times in a sec and has 1.5GHz frequency, 3GHz will have twice the clock speed, ie, 8B. If it runs for 7 seconds, total clock cycles = 8B x 7 = 56B times.

The 1.5GHz processor runs 4B clock cycles in a second. So it will 0.5 seconds to run 2B clock cycles.

I hope it helps. For any doubt, feel free to ask in comments, and give upvote if u get the answer.