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One gigabyte is equivalent to

  • A.\(2^{30}\) bytes
  • B.\(2^{24}\) bytes
  • C.\(2^{20}\) bytes
  • D.\(2^{12}\) bytes

Answer: A

One gigabyte is \(2^{30}\) bytes.

In the binary convention used for computer memory, each unit is 1,024 times the one below it:

\[ \begin{aligned} 1\ \text{KB} &= 2^{10} \\ 1\ \text{MB} &= 2^{20} \\ 1\ \text{GB} &= 2^{30} = 1{,}073{,}741{,}824\ \text{bytes} \end{aligned} \]

So \(2^{20}\) bytes is one megabyte, \(2^{12}\) bytes is 4 KB, and \(2^{24}\) bytes is 16 MB; none of them is a gigabyte.

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