Question

Fill in the blank: 1MB = _____ KB.
A. ${{2}^{8}}$
B. ${{2}^{20}}$
C. ${{2}^{9}}$
D. ${{2}^{10}}$

Answer 1

Hint:The given problem is related to unit conversion. Here MB means Mega bytes and KB means Kilo bytes. Convert 1 MB into Kilobytes and 1 KB into bytes. Then find how many KB are there in 1 MB.

Complete step-by-step answer:
Before proceeding with the solution, let us understand the concept of storage units. Memory is measured in terms of Bytes. Each character is 1 bit and 8 bits are equal to 1 byte. The units in increasing order are bit, byte(B), kilobyte(KB), Megabyte(MB), Gigabyte(GB), etc.
We know that,
$\begin{align}
  & 1KB={{2}^{10}}B \\
 & 1MB={{2}^{20}}B \\
\end{align}$
Since,
$\begin{align}
  & {{2}^{10}}B=1KB \\
 & 1B=\dfrac{1}{{{2}^{10}}}KB \\
\end{align}$
Therefore,
$\begin{align}
  & 1MB={{2}^{20}}B \\
 & \Rightarrow 1MB={{2}^{20}}\times \dfrac{1}{{{2}^{10}}}KB \\
 & \Rightarrow 1MB={{2}^{10}}KB. \\
\end{align}$
Therefore, the answer is option (D).

Note: While doing conversions, convert both given units into a reference unit, in this case Byte, and then find the relation between the two units. This is an easier approach and will reduce chances of error. But calculation errors can occur and hence students should be careful while doing calculations.