Question

You send an email with a file size of $4$ kilobytes. One kilobyte is $2^{10}$ bytes. What is the file size of your email in bytes?

Answer 1

Given I send an email with a file size of $4$ kilobytes.

One kilobyte is $2^{10}$ bytes.

The file size of my email in bytes is $4\times$ $2^{10}$ bytes.

As $4$ can be written as$2\times 2=2^2$,

So, $4\times 2^{10}=2^2\times 2^{10}$ (Using exponent law ${\mathrm{a}}^{\mathrm{m}}•{\mathrm{a}}^{\mathrm{n}}={\mathrm{a}}^{\mathrm{m}+\mathrm{n}}$)

$2^2\times 2^{10}=2^{2+10}=2^{12}$

Hence, file size of your email in bytes is $2^{12}$.