Question

which represents the largest amount of available memory?
1 gib
1 gb
1 mib
1 mb

Explanation:

Step1: Recall memory unit conversions

• \(1\ \text{GiB} = 2^{30}\ \text{bytes}= 1073741824\ \text{bytes}\)
• \(1\ \text{GB} = 10^{9}\ \text{bytes} = 1000000000\ \text{bytes}\)
• \(1\ \text{MiB}=2^{20}\ \text{bytes} = 1048576\ \text{bytes}\)
• \(1\ \text{MB}=10^{6}\ \text{bytes}=1000000\ \text{bytes}\)

Step2: Compare the values

• Compare \(1\ \text{GiB}\) (\(1073741824\ \text{bytes}\)), \(1\ \text{GB}\) (\(1000000000\ \text{bytes}\)), \(1\ \text{MiB}\) (\(1048576\ \text{bytes}\)) and \(1\ \text{MB}\) (\(1000000\ \text{bytes}\)).
• We can see that \(1073741824> 1000000000>1048576 > 1000000\), so \(1\ \text{GiB}\) is the largest.

Answer:

1 GiB