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17 December, 04:09

1.7 If a 500 MHz machine takes one clock cycle to fetch and execute an instruction, then what is the instruction execution rate of the machine?

1.8 How many instructions could the above machine execute in one minute?

1.9 Let's suppose we have a 40-year-old computer that has an instruction execution rate of one thousand instructions per second. How long would it take in days, hours, and minutes to execute the same number of instructions you derived for the 500 MHz machine?

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  1. 17 December, 04:30
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    Part 1.7 : The number of instructions in a second are 500 Million instructions

    Part 1.8 : The number of instructions in a minute are 30 Billion instructions

    Part 1.9 : The number of years required are as 57 years.

    Explanation:

    Part 1.7

    500MHz means there are 500 million clock cycles per second

    so the execution rate is 500 Million instructions per second

    The number of instructions in a second are 500 Million instructions

    Part 1.8

    As 1 minute = 60 seconds

    so 60 * 500 Million per second = 30 Billion instructions!

    The number of instructions in a minute are 30 Billion instructions

    Part 1.9

    The execution rate is given as 1000 instructions per second thus

    30 Billion instructions / 1000 = 30 million minutes

    There are 60 minutes per hr

    so 30 million minutes is 500,000 hrs

    As there are 24 hrs per day

    so 500,000 / 24 = 20833 days = about 57 years

    The number of years required are as 57 years.
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