Mebibits per hour to Mebibytes per second conversion

How to convert mebibits per hour to mebibytes per second?

To convert 1 Mebibit per hour (Mibit/h) to Mebibytes per second (MiB/s), we need to follow these steps:

Conversion Process

1. Convert Mebibits to bits:

   • 1 Mebibit (Mibit) = 2^20 bits = 1,048,576 bits.

2. Convert hours to seconds:

   • 1 hour = 3600 seconds.

3. Combine the two conversions to get bits per second:

   • 1 Mibit/h = 1,048,576 bits / 3600 seconds.

4. Convert bits per second to bytes per second:

   • 1 byte = 8 bits.
   • Therefore, 1 Mibit/h in bytes per second = (1,048,576 / 3600) bits per second / 8.

5. Convert bytes to Mebibytes:

   • 1 Mebibyte (MiB) = 2^20 bytes = 1,048,576 bytes.
   • Therefore, divide the bytes per second by 1,048,576 to get Mebibytes per second.

Let's go through the calculation step-by-step:

Step-by-Step Calculation

1. Convert Mebibits to bits:

   • 1 Mebibit = 1,048,576 bits.

2. Convert hours to seconds:

   • 1 hour = 3600 seconds.

3. Bits per second:

   • 1,048,576 bits / 3600 seconds ≈ 291.49 bits per second.

4. Bytes per second:

   • 291.49 bits per second / 8 ≈ 36.44 bytes per second.

5. Mebibytes per second:

   • 36.44 bytes per second / 1,048,576 bytes per Mebibyte ≈ 0.0000347 Mebibytes per second (MiB/s).

Summary

• 1 Mebibit per hour ≈ 0.0000347 Mebibytes per second (MiB/s).

Real-World Examples

Let's calculate for different quantities of Mebibits per hour and convert them to Mebibytes per second:

1. 10 Mebibits per hour:

   • 10 Mebibits = 10 * 1,048,576 bits = 10,485,760 bits.
   • 10,485,760 bits / 3600 seconds ≈ 2914.93 bits per second.
   • 2914.93 bits per second / 8 ≈ 364.37 bytes per second.
   • 364.37 bytes per second / 1,048,576 ≈ 0.000347 MiB/s.

2. 100 Mebibits per hour:

   • 100 Mebibits = 100 * 1,048,576 bits = 104,857,600 bits.
   • 104,857,600 bits / 3600 seconds ≈ 29149.33 bits per second.
   • 29149.33 bits per second / 8 ≈ 3643.67 bytes per second.
   • 3643.67 bytes per second / 1,048,576 ≈ 0.00347 MiB/s.

3. 1000 Mebibits per hour:

   • 1000 Mebibits = 1000 * 1,048,576 bits = 1,048,576,000 bits.
   • 1,048,576,000 bits / 3600 seconds ≈ 291493.33 bits per second.
   • 291493.33 bits per second / 8 ≈ 36436.67 bytes per second.
   • 36436.67 bytes per second / 1,048,576 ≈ 0.0347 MiB/s.

Base 10 vs. Base 2

• In telecommunications, data rates are often discussed in terms of bits per second. The above calculations use base-2 (binary) units.
• There is no difference in the method of conversion whether we use base-2 or base-10 since it is a straightforward mathematical conversion from bits to bytes to Mebibytes using the base-2 definition of Mebibits and Mebibytes.