Gigabytes per second to Tebibytes per minute conversion

How to convert gigabytes per second to tebibytes per minute?

To convert 1 Gigabyte per second (GB/s) to Tebibytes per minute, we need to perform unit conversions taking into account the difference between the base 10 (decimal) and base 2 (binary) systems.

Base 10 (Decimal System)

1 Gigabyte (GB) in base 10 is $1 \times 10^9$ bytes (1,000,000,000 bytes).

1 Tebibyte (TiB) in base 10 is $2^{40}$ bytes (1,099,511,627,776 bytes).

First, convert 1 GB to bytes: $1 \text{ GB} = 1 \times 10^9 \text{ bytes}$

Then, convert the rate to bytes per minute: $1 \text{ GB/s} = 1 \times 10^9 \text{ bytes/s} \times 60 \text{ s/min} = 60 \times 10^9 \text{ bytes/min}$

Now, convert bytes per minute to Tebibytes per minute: $60 \times 10^9 \text{ bytes/min} ÷ 1,099,511,627,776 \text{ bytes/TiB} \approx 0.0547 \text{ TiB/min}$

Base 2 (Binary System)

1 Gigabyte (GB) in base 2 is $2^{30}$ bytes (1,073,741,824 bytes).

1 Tebibyte (TiB) in base 2 is $2^{40}$ bytes (1,099,511,627,776 bytes).

First, convert 1 GB to bytes: $1 \text{ GB} = 2^{30} \text{ bytes} \approx 1,073,741,824 \text{ bytes}$

Then, convert the rate to bytes per minute: $1 \text{ GB/s} = 1,073,741,824 \text{ bytes/s} \times 60 \text{ s/min} = 64,424,509,440 \text{ bytes/min}$

Now, convert bytes per minute to Tebibytes per minute: $64,424,509,440 \text{ bytes/min} ÷ 1,099,511,627,776 \text{ bytes/TiB} \approx 0.0586 \text{ TiB/min}$

Summary:

• Base 10: 1 GB/s ≈ 0.0547 TiB/min
• Base 2: 1 GB/s ≈ 0.0586 TiB/min

Real World Examples for Other Quantities of GB/s:

1. 2.5 GB/s:

   • Base 10: $2.5 \times 0.0547 \approx 0.14$ TiB/min
   • Base 2: $2.5 \times 0.0586 \approx 0.1465$ TiB/min

2. 5 GB/s:

   • Base 10: $5 \times 0.0547 \approx 0.2735$ TiB/min
   • Base 2: $5 \times 0.0586 \approx 0.293$ TiB/min

3. 10 GB/s:

   • Base 10: $10 \times 0.0547 \approx 0.547$ TiB/min
   • Base 2: $10 \times 0.0586 \approx 0.586$ TiB/min

These conversions help in understanding data transfer rates in different contexts, such as network speeds, storage systems, and data center operations.