Question

5 of 10
which is largest?
1 gb
1 gib
1 mb
1 mib

Explanation:

Step1: Recall unit conversions

• \(1\ \text{GB} = 10^{9}\ \text{bytes}\) (decimal gigabyte, used in some storage contexts for marketing, based on powers of 10).
• \(1\ \text{GiB} = 2^{30}\ \text{bytes}\approx1.073741824\times 10^{9}\ \text{bytes}\) (binary gibibyte, used in computing for actual data storage, based on powers of 2).
• \(1\ \text{MB} = 10^{6}\ \text{bytes}\) (decimal megabyte).
• \(1\ \text{MiB} = 2^{20}\ \text{bytes}\approx1.048576\times 10^{6}\ \text{bytes}\) (binary mebibyte).

Step2: Compare the values

• Compare \(1\ \text{GB}\) (\(10^{9}\)) and \(1\ \text{GiB}\) (\(\approx1.0737\times 10^{9}\)): \(1\ \text{GiB}> 1\ \text{GB}\) since \(1.0737\times 10^{9}>10^{9}\).
• Compare with MB and MiB: Both GB and GiB are much larger than MB and MiB (since \(10^{9}>10^{6}\) and \(2^{30}>2^{20}\)).
• Among GB and GiB, GiB is larger.

Answer:

1 GiB