Question

How many nanoseconds does it take for a computer to perform one calculation if it performs 6.7 × 10^{7} calculations per second?

Answer 1

the comuter does 1 calculation in 1.5*
`10^(-17)` nanosec

Explanation:

First step: we need to write all terms in nanosec, as we know:

1[nanosec]=
`10^(-9)`[sec]

The computer does 6.7*
`10^(7)` [
`(calculation)/(sec)`]

if we multiplicate for
`(sec)/(nanosec*10^(*9))`, from the units convertion.

6.7*
`10^(7)` [
`(calculation)/(sec)` *
`(sec)/(nanosec*10^(*9))`

6.7*
`10^(16)` [
`(calculation)/(nanosec)`]

Now doing a simple three rule we have this:

6.7 *
`10^(16)` calculation in ⇒ 1 nanosec

1 calculation in ⇒
`(1 nanosec* 1calculation)/(6.7*10^(16) calculation )`

So, we found: the comuter does 1 calculation in 1.5*
`10^(-17)` nanosec