Mebibytes per hour to Gigabytes per hour conversion

How to convert mebibytes per hour to gigabytes per hour?

Certainly! To convert Mebibytes per hour (MiB/hr) to Gigabytes per hour (GB/hr), you'll need to understand the difference between base 2 and base 10 units.

Conversion Using Base 2

In the base 2 system (binary):

• 1 Mebibyte (MiB) = 2^20 bytes = 1,048,576 bytes
• 1 Gibibyte (GiB) = 2^30 bytes = 1,073,741,824 bytes

To convert from MiB to GiB: $\text{1 Mebibyte} = \frac{1,048,576 \text{ bytes}}{1,073,741,824 \text{ bytes/Gibibyte}} = \frac{1}{1024} \text{ GiB}$

• Thus, 1 MiB/hr = 1/1024 GiB/hr ≈ 0.0009765625 GiB/hr

To convert GiB to GB:

• 1 GiB ≈ 1.073741824 GB (in base 10)

So: $\text{1 MiB/hr} = 0.0009765625 \text{ GiB/hr} × 1.073741824 \text{ GB/GiB} ≈ 0.001048576 \text{ GB/hr}$

Conversion Using Base 10

In the base 10 system (decimal or SI units):

• 1 Megabyte (MB) = 10^6 bytes = 1,000,000 bytes
• 1 Gigabyte (GB) = 10^9 bytes = 1,000,000,000 bytes

However, in this case, we stick to the binary units for consistency as MiB/hr is a binary measurement. Therefore, converting to GB directly involves understanding each MiB is approximately 1.048576 MB in base 10.

$\text{1 MiB} ≈ 1.048576 \text{ MB}$

To convert from MiB to general GB: $\text{1 MiB/hr} ≈ 1.048576 \text{ MB/hr}$ $\text{1 MiB/hr} ≈ 0.001048576 \text{ GB/hr}$

Real-World Examples

1. Streaming Video

   • Low-definition video may use about 500 Kbps which is approximately 0.0596 MiB per second or 214.56 MiB/hr.
   • High-definition video may use about 2 Mbps which is approximately 0.244 MiB per second or 878.4 MiB/hr.

2. Downloading Files

   • A reasonably fast internet connection (e.g., 100 Mbps) may download at approximately 12.5 MBps, which is about 11.92 MiB per second or 42,912 MiB/hr.

3. Online Gaming

   • Online games can vary widely but may use around 50-100 MiB/hr based on the complexity and its data usage.

Conclusion

1 MiB/hr converts approximately to:

• 0.0009765625 GiB/hr (base 2)
• 0.001048576 GB/hr (base 10)