Gibibytes per second to Megabytes per hour conversion

How to convert gibibytes per second to megabytes per hour?

To convert 1 Gibibyte per second (GiB/s) to Megabytes per hour (MB/hr), we need to consider the definitions of Gibibytes (GiB) and Megabytes (MB) in both base 2 (binary) and base 10 (decimal) systems.

Base 2 (Binary) Conversion

1 Gibibyte (GiB) = 2^30 bytes 1 Megabyte (MB) = 2^20 bytes

1 GiB/s in bytes per second: 1 GiB/s = 2^30 bytes/s = 1,073,741,824 bytes/s

To find the number of bytes in one hour: 1,073,741,824 bytes/s * 3600 seconds/hr = 3,865,636,582,400 bytes/hr

Convert bytes per hour to Megabytes per hour (MB/hr): 3,865,636,582,400 bytes/hr / 2^20 bytes/MB = 3,686,400 MB/hr

Base 10 (Decimal) Conversion

1 Gibibyte (GiB) = 1.073741824 Gigabytes (GB) 1 Gigabyte (GB) = 1,000 Megabytes (MB)

1 GiB/s in Gigabytes per second: 1 GiB/s = 1.073741824 GB/s

To find the number of GB in one hour: 1.073741824 GB/s * 3600 seconds/hr = 3,865.8705664 GB/hr

Convert Gigabytes per hour to Megabytes per hour (MB/hr): 3,865.8705664 GB/hr * 1000 MB/GB = 3,865,870.5664 MB/hr

Summary

• Base 2: 1 GiB/s = 3,686,400 MB/hr
• Base 10: 1 GiB/s = 3,865,870.5664 MB/hr

Real World Examples

To provide more context, here are conversions for various quantities of Gibibytes per second in both base 2 and 10.

2 GiB/s

• Base 2:

  $$2 \text{ GiB/s} = 2 \times 3,686,400 \text{ MB/hr} = 7,372,800 \text{ MB/hr}$$

• Base 10:

  $$2 \text{ GiB/s} = 2 \times 3,865,870.5664 \text{ MB/hr} = 7,731,741.1328 \text{ MB/hr}$$

0.5 GiB/s

• Base 2:

  $$0.5 \text{ GiB/s} = 0.5 \times 3,686,400 \text{ MB/hr} = 1,843,200 \text{ MB/hr}$$

• Base 10:

  $$0.5 \text{ GiB/s} = 0.5 \times 3,865,870.5664 \text{ MB/hr} = 1,932,935.2832 \text{ MB/hr}$$

10 GiB/s

• Base 2:

  $$10 \text{ GiB/s} = 10 \times 3,686,400 \text{ MB/hr} = 36,864,000 \text{ MB/hr}$$

• Base 10:

  $$10 \text{ GiB/s} = 10 \times 3,865,870.5664 \text{ MB/hr} = 38,658,705.664 \text{ MB/hr}$$

Understanding these conversions is essential for fields like data management, networking, and IT, where accurate data transfer rates are vital for planning and operation.