100000 KB to GB
Understand the Problem
The question is asking for a conversion of data units from kilobytes (KB) to gigabytes (GB). This requires an understanding of the relationship between these units of measurement in digital storage.
Answer
0.0953674316 GB
Answer for screen readers
The final answer is 0.0953674316 GB
Steps to Solve
- Convert kilobytes to bytes
To convert kilobytes (KB) to bytes (B), multiply the number of kilobytes by 1024, because 1 KB = 1024 B:
$$ 100000 \text{ KB} \times 1024 \frac{\text{B}}{\text{KB}} = 102400000 \text{ B} $$
- Convert bytes to gigabytes
To convert bytes (B) to gigabytes (GB), divide the number of bytes by $1024^{3}$, because 1 GB = $1024^{3}$ B:
$$ 102400000 \text{ B} \div 1024^{3} \frac{\text{B}}{\text{GB}} $$
- Simplify the expression
Simplify the division to get the number of gigabytes:
$$ 102400000 \text{ B} \div 1073741824 \frac{\text{B}}{\text{GB}} \approx 0.0953674316 \text{ GB} $$
The final answer is 0.0953674316 GB
More Information
The exact conversion factor for bytes to gigabytes is $1024^3 = 1073741824$, so this conversion is very precise.
Tips
A common mistake is to divide by $10^9$ (1,000,000,000) instead of $1024^3$ when converting bytes to gigabytes. This results from confusing binary (base-2) and decimal (base-10) unit measurements.
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