Question

The current Pentium processor uses 64-bit "registers". Assuming your processor is ticking away at a rate...

The current Pentium processor uses 64-bit "registers". Assuming your processor is
ticking away at a rate of 2.7 GHz, how long will it take to reach the biggest
number the register can hold (Hint: the biggest number is 2^64 - 1):

* Time until the register hit the maximum value = <??> years

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Answer #1

Time taken to do a basic operation with the given processor is time period of the processor.

t = 1/(2.7*109)

t = 0.3703 ns

Biggest number in the register will be all ones in all 64 bits that is 264-1. To do this time taken will be one cycle. that is 0.37 ns. Let's convert it to years now.

1 sec = 3.17 *10-8 years

0.37 ns = 1.17 * 10-17 years

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