Question

A computer does a calculation in 5 nanoseconds. How many nanoseconds of these calculations can the computer do in 1 second?

Answer 1

Hint: In this question we have to find the number of calculations can the computer do in 1 second, for doing this we must use the fact that 1 nanosecond is equal to \[{10^{ - 9}}\]seconds, which can be written as, \[1\]nanosecond\[ = {10^{ - 9}}\]seconds, and now we will consider that required number of calculation as a variable and convert the 5 nanoseconds into seconds and further simplification will get the required answer.

Complete step-by-step answer:
Given that a computer does a calculation in 5 nanosecond and we have to find calculations can the computer do in 1 second,
First let us consider that the number of calculations that a computer can do in 1 second be \[x\],
So, now converting 5 nanoseconds into seconds using the fact that \[1\]nanosecond\[ = {10^{ - 9}}\]seconds,
\[ \Rightarrow 5nano\sec onds = 5 \times {10^{ - 9}}\sec onds\],
Now we can say that the computer do 1 calculation is\[5 \times {10^{ - 9}}\sec onds\],
So\[x\]calculations a computer do in 1 second as we considered, this can be written as,
\[ \Rightarrow x = \dfrac{1}{{5 \times {{10}^{ - 9}}}}\]calculations,
Now simplifying we get,
\[ \Rightarrow x = 0.2 \times {10^9}\],
Now multiplying to remove the decimal we get,
\[ \Rightarrow x = 200000000\],
This can be written in powers of 10 as,
\[ \Rightarrow x = 2 \times {10^8}\],
So, the number of calculations is equal to \[2 \times {10^8}\].

\[\therefore \]The calculations can the computer do in 1 second when a computer does a calculation in 5 nanoseconds will be equal to \[2 \times {10^8}\].

Note:
Nanoseconds is a time the computer accesses the data in it. An action has a time period as equal to nanosecond has many applications in today’s modern world. One nanosecond is equal to the one thousand millionth of a second which is equal to \[{10^{ - 9}}\]seconds.