To determine which of these options stores the most information, we need to compare their sizes. We will convert all quantities to the same unit, which is bytes, for straightforward comparison.
1. 5 Gb (Gigabytes) to bytes:
1 Gigabyte (Gb) is equal to [tex]\(1024^3\)[/tex] bytes.
[tex]\[
5 \text{ Gb} = 5 \times 1024^3 \text{ bytes} = 5 \times 1,073,741,824 \text{ bytes} = 5,368,709,120 \text{ bytes}
\][/tex]
2. 10 Mb (Megabytes) to bytes:
1 Megabyte (Mb) is equal to [tex]\(1024^2\)[/tex] bytes.
[tex]\[
10 \text{ Mb} = 10 \times 1024^2 \text{ bytes} = 10 \times 1,048,576 \text{ bytes} = 10,485,760 \text{ bytes}
\][/tex]
3. 100 bytes:
[tex]\[
100 \text{ bytes} = 100 \text{ bytes}
\][/tex]
4. 1,000 bytes:
[tex]\[
1,000 \text{ bytes} = 1,000 \text{ bytes}
\][/tex]
Now that we have converted all the quantities to bytes, let's list them for comparison:
- 5 Gb = 5,368,709,120 bytes
- 10 Mb = 10,485,760 bytes
- 100 bytes = 100 bytes
- 1,000 bytes = 1,000 bytes
From these conversions, we can clearly see that:
- [tex]\(5,368,709,120 \text{ bytes}\)[/tex] is the largest number.
Therefore, the option that stores the most information is A. 5 Gb.
