Gigabytes per second to Tebibytes per hour conversion

How to convert gigabytes per second to tebibytes per hour?

To convert 1 Gigabyte per second (GB/s) to Tebibytes per hour (TiB/hr), you'll need to consider the difference between base 10 (decimal) and base 2 (binary) units of measurement.

Base 10 Conversion (Decimal)

1. Understand the units:

   • 1 Gigabyte (GB) = 1,000,000,000 bytes (10^9 bytes)
   • 1 hour = 3,600 seconds

2. Convert GB/s to bytes per second: $1 \text{ GB/s} = 1,000,000,000 \text{ bytes/s}$

3. Convert to bytes per hour: $1,000,000,000 \text{ bytes/s} \times 3,600 \text{ s} = 3,600,000,000,000 \text{ bytes/hr}$

4. Convert bytes to Tebibytes (TiB):

   • 1 TiB = 2^{40} bytes = 1,099,511,627,776 bytes

   $\frac{3,600,000,000,000 \text{ bytes/hr}}{1,099,511,627,776 \text{ bytes/TiB}} \approx 3.27 \text{ TiB/hr}$

Base 2 Conversion (Binary)

1. Understand the units:

   • 1 Gibibyte (GiB) = 2^{30} bytes = 1,073,741,824 bytes

2. Convert GiB/s to bytes per second: Since 1 GiB = 1,073,741,824 bytes, $1 \text{ GB/s} = \left( \frac{10^9 \text{ bytes}}{1.073741824 \times 10^9} \right) \text{ GiB/s} \approx 0.931 \text{ GiB/s}$

3. Convert GiB/s to GiB per hour: $0.931 \text{ GiB/s} \times 3,600 \text{ s} = 3,351.6 \text{ GiB/hr}$

4. Convert GiB to TiB:

   • 1 TiB = 1,024 GiB

   $\frac{3,351.6 \text{ GiB}}{1,024 \text{ GiB/TiB}} \approx 3.27 \text{ TiB/hr}$

Interestingly, due to how close the base 10 and base 2 units are, the conversion results in approximately the same value when converted to Tebibytes per hour, which is about 3.27 TiB/hr.

Real-World Examples for Various Quantities of GB/s:

1. 10 GB/s (Base 10 to TiB/hr) $10 \text{ GB/s} \approx 32.7 \text{ TiB/hr}$

2. 0.5 GB/s (Base 10 to TiB/hr) $0.5 \text{ GB/s} = 0.5 \times 3.27 \text{ TiB/hr} \approx 1.635 \text{ TiB/hr}$

3. 2 GB/s (Base 10 to TiB/hr) $2 \text{ GB/s} = 2 \times 3.27 \text{ TiB/hr} \approx 6.54 \text{ TiB/hr}$

Applications:

• 10 GB/s: This is often seen in data centers with high-speed networking and storage solutions, such as using NVMe over fabrics (NVMe-oF) or InfiniBand networks.
• 0.5 GB/s: This data rate might be typical of high-speed consumer-level internet connections or high-definition video streaming services for multiple streams.
• 2 GB/s: This could be used in enterprise-level SSD arrays for fast data processing tasks or by tech companies with large data ingestion systems.