Megabytes per second to Gigabytes per hour conversion

How to convert megabytes per second to gigabytes per hour?

Sure, I'll walk you through the process of converting 1 Megabyte per second (MB/s) to Gigabytes per hour (GB/hr) in both base 10 and base 2 systems, and then provide some real-world examples.

Conversion in Base 10 (Decimal System)

1. Identify the base 10 equivalents:

   • 1 Megabyte (MB) = 1,000,000 bytes
   • 1 Gigabyte (GB) = 1,000 MB

2. Convert Megabytes per second to Megabytes per hour: $1 \, \text{MB/s} \times 60 \, \text{seconds} \times 60 \, \text{minutes} = 3,600 \, \text{MB/hr}$

3. Convert Megabytes per hour to Gigabytes per hour: $\frac{3,600 \, \text{MB/hr}}{1,000 \, \text{MB/GB}} = 3.6 \, \text{GB/hr}$

Conversion in Base 2 (Binary System)

1. Identify the base 2 equivalents:

   • 1 Megabyte (MiB) = 1,048,576 bytes (2^20 bytes)
   • 1 Gigabyte (GiB) = 1,024 MiB (2^30 bytes)

2. Convert Mebibytes per second to Mebibytes per hour: $1 \, \text{MiB/s} \times 60 \, \text{seconds} \times 60 \, \text{minutes} = 3,600 \, \text{MiB/hr}$

3. Convert Mebibytes per hour to Gibibytes per hour: $\frac{3,600 \, \text{MiB/hr}}{1,024 \, \text{MiB/GiB}} \approx 3.515625 \, \text{GiB/hr}$

Real-World Examples

1. Downloading at 5 MB/s:

   • Base 10: $5 \, \text{MB/s} \times 3,600 \, \text{seconds/hr} = 18,000 \, \text{MB/hr} = 18 \, \text{GB/hr}$
   • Base 2: $5 \, \text{MiB/s} \times 3,600 \, \text{seconds/hr} = 18,000 \, \text{MiB/hr} \approx 17.578125 \, \text{GiB/hr}$

2. Uploading at 10 MB/s:

   • Base 10: $10 \, \text{MB/s} \times 3,600 \, \text{seconds/hr} = 36,000 \, \text{MB/hr} = 36 \, \text{GB/hr}$
   • Base 2: $10 \, \text{MiB/s} \times 3,600 \, \text{seconds/hr} = 36,000 \, \text{MiB/hr} \approx 35.15625 \, \text{GiB/hr}$

3. Streaming video at 2 MB/s:

   • Base 10: $2 \, \text{MB/s} \times 3,600 \, \text{seconds/hr} = 7,200 \, \text{MB/hr} = 7.2 \, \text{GB/hr}$
   • Base 2: $2 \, \text{MiB/s} \times 3,600 \, \text{seconds/hr} = 7,200 \, \text{MiB/hr} \approx 7.03125 \, \text{GiB/hr}$

By understanding both base 10 and base 2 conversions, you can communicate data transfer rates in a way that's most relevant to your needs or audience.