Gigabytes per day to Tebibytes per day conversion

How to convert gigabytes per day to tebibytes per day?

Understanding the Conversion

To convert gigabytes (GB) per day to tebibytes (TiB) per day:

1. Base 10 Conversion (Decimal):

   • 1 gigabyte is equal to $10^9$ bytes.
   • 1 tebibyte is equal to $10^{12}$ bytes in decimal.
   • To convert gigabytes to terabytes in decimal, you divide by 1000 (since $10^{12} / 10^9 = 10^3 = 1000$).

   Using this information: $\frac{1 \text{ GB}}{1000} = 0.001 \text{ TiB}$

2. Base 2 Conversion (Binary):

   • 1 gigabyte is typically considered as $2^{30}$ bytes.
   • 1 tebibyte is equal to $2^{40}$ bytes.
   • To convert gigabytes to tebibytes in binary, you need to understand the power difference:

   $2^{30} \text{ bytes} \div 2^{40} \text{ bytes} = 2^{-10} = \frac{1}{1024}$

   Hence, in base 2: $\frac{1 \text{ GB}}{1024} = 0.0009765625 \text{ TiB}$

Real World Examples for Different Quantities of Gigabytes per Day

1. Google Search Indexing:

   • If Google indexes around 20 petabytes of data per day.
   • Converting to gigabytes: $20 \text{ PiB} = 20 \times 1024^2 = 20 \times 1,048,576 = 20,971,520 \text{ GB}$

2. Streaming Services:

   • Suppose Netflix streams about 3.2 petabytes of data per day.
   • Converting to gigabytes: $3.2 \text{ PiB} = 3.2 \times 1024^2 = 3.2 \times 1,048,576 = 3,355,443.2 \text{ GB}$

3. Social Media Platforms:

   • Facebook reportedly handles around 4 petabytes of data per day.
   • Converting to gigabytes: $4 \text{ PiB} = 4 \times 1024^2 = 4 \times 1,048,576 = 4,194,304 \text{ GB}$

4. Scientific Research Data:

   • The Large Hadron Collider (LHC) generates approximately 30 petabytes of data per year.
   • Converting per day in gigabytes: $30 \text{ PiB/year} \div 365 \text{ days/year} = \frac{30 \times 1,048,576}{365} \approx 86,141.9 \text{ GB/day}$

Summary

• Base 10 (Decimal): 1 GB/day = 0.001 TiB/day

• Base 2 (Binary): 1 GB/day = 0.0009765625 TiB/day

Understanding whether the context involves base 10 or base 2 is crucial, especially in industries like computing and telecommunications where the distinction can significantly affect data storage and transfer considerations.