Megabytes per minute to Mebibits per hour conversion

How to convert megabytes per minute to mebibits per hour?

To convert from megabytes per minute (MB/min) to mebibits per hour (Mib/h), we need to understand the difference between base 10 (decimal) and base 2 (binary) prefixes.

Base 10 Conversion (Decimal)

In base 10:

• 1 MB (megabyte) = 1,000,000 bytes
• 1 bit = 1/8 of a byte (there are 8 bits in a byte)
• Therefore, 1 MB = 1,000,000 bytes * 8 bits/byte = 8,000,000 bits

Steps:

1. Convert megabytes to bits: $1 \text{ MB} = 8,000,000 \text{ bits}$

2. Since we are calculating for a minute and we need it for an hour: $8,000,000 \text{ bits/min} \times 60 \text{ min/h} = 480,000,000 \text{ bits/h}$

3. Convert bits to mebibits:

   • 1 Mib (mebibit) = 2^20 bits = 1,048,576 bits
   • Therefore, $480,000,000 \text{ bits} / 1,048,576 \text{ bits/Mib} \approx 457.76 \text{ Mib/h}$

Base 2 Conversion (Binary)

In base 2:

• 1 MiB (mebibyte) = 2^20 bytes = 1,048,576 bytes
• Again, 1 bit is 1/8 of a byte
• Therefore, 1 MiB = 1,048,576 bytes * 8 bits/byte = 8,388,608 bits

Steps:

1. Convert mebibytes to bits: $1 \text{ MiB} = 8,388,608 \text{ bits}$

2. For an hour: $8,388,608 \text{ bits/min} \times 60 \text{ min/h} = 503,316,480 \text{ bits/h}$

3. Convert bits to mebibits:

   • 1 Mib (mebibit) = 2^20 bits = 1,048,576 bits
   • Therefore, $503,316,480 \text{ bits} / 1,048,576 \text{ bits/Mib} \approx 480 \text{ Mib/h}$

Real-World Examples for Other Quantities of Megabytes per Minute

Example 1: 5 MB/min

• Base 10:
  • 5 MB = 5 * 8,000,000 bits = 40,000,000 bits/min
  • $40,000,000 \text{ bits/min} \times 60 \text{ min/h} = 2,400,000,000 \text{ bits/h}$
  • $2,400,000,000 \text{ bits/h} / 1,048,576 \approx 2,288.82 \text{ Mib/h}$
• Base 2:
  • 5 MiB = 5 * 8,388,608 bits = 41,943,040 bits/min
  • $41,943,040 \text{ bits/min} \times 60 \text{ min/h} = 2,516,582,400 \text{ bits/h}$
  • $2,516,582,400 \text{ bits/h} / 1,048,576 \approx 2,400 \text{ Mib/h}$

Example 2: 10 MB/min

• Base 10:
  • 10 MB = 10 * 8,000,000 bits = 80,000,000 bits/min
  • $80,000,000 \text{ bits/min} \times 60 \text{ min/h} = 4,800,000,000 \text{ bits/h}$
  • $4,800,000,000 \text{ bits/h} / 1,048,576 \approx 4,577.64 \text{ Mib/h}$
• Base 2:
  • 10 MiB = 10 * 8,388,608 bits = 83,886,080 bits/min
  • $83,886,080 \text{ bits/min} \times 60 \text{ min/h} = 5,033,164,800 \text{ bits/h}$
  • $5,033,164,800 \text{ bits/h} / 1,048,576 \approx 4,800 \text{ Mib/h}$

These examples show how different quantities of megabytes per minute convert to mebibits per hour using both decimal (base 10) and binary (base 2) methods.