Mebibytes per second to Megabytes per minute conversion

How to convert mebibytes per second to megabytes per minute?

To convert from Mebibytes per second (MiB/s) to Megabytes per minute (MB/min), you need to consider the units of measurement involved and the time conversion.

Understanding the Units:

1. Mebibytes (MiB):

   • 1 Mebibyte (MiB) = 2^20 bytes = 1,048,576 bytes.

2. Megabytes (MB):

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

Conversion Process:

1. Time Conversion:

   • 1 second = 1/60 minutes. So, if we want a rate per minute, we multiply by 60.

2. Convert MiB/min (Base 2) to MB/min (Base 10):

   • 1 MiB/s * 60 seconds/min = 60 MiB/min.
   • To convert 60 MiB (which are base 2) to MB (which are base 10), we use the byte equivalence:
     • 60 MiB * (1,048,576 bytes / 1,000,000 bytes) = 62.91456 MB/min.

Base 10 Case:

To directly calculate in base 10:

• If we assume 1 Megabyte/second, we convert directly:
  • 1 MB/s = 60 MB/min (since there's a direct 1:1 conversion in base 10).

Base 2 Case:

Start from 1 MiB/s:

• Convert MiB to MB uses: 1 MiB = 1.048576 MB.
• 1 MiB/s * 60 seconds/min = 60 MiB/min.
• 60 MiB/min * 1.048576 MB/MiB = 62.91456 MB/min.

Real World Examples:

1. Network Transfer Speeds:

   • A consumer broadband connection might offer speeds up to 100 MiB/s. This translates to 100 MiB/s * 60 seconds/min = 6000 MiB/min.
   • In MB (base 10 terms), it becomes 6287.56 MB/min.

2. Flash Storage:

   • A USB 3.0 flash drive might have a read speed of 150 MiB/s, which translates to 150 MiB/s * 60 = 9000 MiB/min or 9437.184 MB/min.

3. HDD Write Speeds:

   • A hard disk drive may write data at approximately 50 MiB/s, so it results in:
     • 50 MiB/s * 60 = 3000 MiB/min or 3145.728 MB/min.

4. Downloading a Large File:

• Downloading a 4 GB file at 10 MiB/s would take:
  • 4 GB = 4096 MB (base 2),
  • Time = 4096 MiB / 10 MiB/s = 409.6 seconds,
  • Download throughput in base 10: 10 MiB * 1.048576 = 10.48576 MB/s,
  • Equivalent time in base 10 terms: 4096 MiB * 1.048576 / 10.48576 MB/s ≈ 409.6 seconds.

These conversions demonstrate how real-world storage and data transfer performances translate through different measurement systems, emphasizing how close, but not the same, base 2 and base 10 systems can be.