Mebibits per second to Kibibytes per second conversion

How to convert mebibits per second to kibibytes per second?

To understand how to convert 1 Mebibit per second (Mibps) to Kibibytes per second (KiBps), it's important to know the relationship between these units.

1. Understanding the Units:
   • Mebibit (Mibit): A Mebibit is a binary unit of data equal to $2^{20}$ bits (1,048,576 bits).
   • Kibibyte (KiB): A Kibibyte is a binary unit of data equal to $2^{10}$ bytes (1,024 bytes).

Since there are 8 bits in a byte:

• 1 Mibit = 1,048,576 bits
• 1 byte = 8 bits
• Therefore, 1 Mibit = 1,048,576 / 8 bytes = 131,072 bytes
• And, 1 KiB = 1,024 bytes

2. Converting Mebibits per second (Mibps) to Kibibytes per second (KiBps):
   • $1 \text{ Mibps} = 1 \text{ Mibps} \times \left(\frac{1,048,576 \text{ bits}}{1 \text{ Mibit}}\right) \times \left(\frac{1 \text{ byte}}{8 \text{ bits}}\right) \times \left(\frac{1 \text{ KiB}}{1,024 \text{ bytes}}\right)$
   • Simplifying, we get: $1 \text{ Mibps} = \frac{1,048,576}{8 \times 1,024} \text{ KiBps} = \frac{1,048,576}{8,192} \text{ KiBps} = 128 \text{ KiBps}$

So, 1 Mibps is exactly 128 KiBps.

Please note:

• For base 2 (binary) calculation, which is the standard in computing, the answer is 128 KiBps.
• For base 10 (decimal) calculation, the prefixes used would be Megabits (Mb) and Kilobytes (kB), which is different from Mebibits and Kibibytes. In base 10:
  • 1 Megabit (Mb) = 1,000,000 bits
  • Converting to Kilobytes (KB) (decimal):
  • $1 \text{ Mb} = \frac{1,000,000}{8} \text{ Bytes} = 125,000 \text{ Bytes} = 125 \text{ kBps}$

Thus:

• 1 Mibps (binary) = 128 KiBps
• 1 Mbps (decimal) = 125 kBps

Real-World Examples:

• 25 Mibps:

  • $25 \text{ Mibps} \times 128 \text{ KiBps/Mibps} = 3,200 \text{ KiBps}$
  • $25 \text{ Mbps} \times 125 \text{ kBps/Mbps} = 3,125 \text{ kBps}$

• 100 Mibps:

  • $100 \text{ Mibps} \times 128 \text{ KiBps/Mibps} = 12,800 \text{ KiBps}$
  • $100 \text{ Mbps} \times 125 \text{ kBps/Mbps} = 12,500 \text{ kBps}$

• 500 Mibps:

  • $500 \text{ Mibps} \times 128 \text{ KiBps/Mibps} = 64,000 \text{ KiBps}$
  • $500 \text{ Mbps} \times 125 \text{ kBps/Mbps} = 62,500 \text{ kBps}$

This should give you a good understanding of how to convert between Mebibits per second and Kibibytes per second, and how it contrasts with the base 10 units.