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Megabytes and Kilobytes

Age 14 to 16 Short
Challenge Level

Answer: $1 048 576$


Using powers
$2^{10}$ kilobytes in $1$ megabyte, and $2^{10}$ bytes in each of those $2^{10}$ kilobytes
So $2^{10}\times2^{10}$ bytes in $1$ megabyte.

$2^{10}\times2^{10}=2^{10+10}=2^{20}=1  048  576$, so there are $1  048  576$ (not $1  000  000$) bytes in a megabyte.

Using normal numbers
$2^{10}=1024$
$1024$ kilobytes in $1$ megabyte, and $1024$ bytes in each of those $1024$ kilobytes
So $1024\times1024$ bytes in $1$ megabyte.

$1024\times1024=1  048  576$, so there are $1  048  576$ (not $1  000  000$) bytes in a megabyte.

You can find more short problems, arranged by curriculum topic, in our short problems collection.