Megabits per hour to Kibibytes per second conversion

How to convert megabits per hour to kibibytes per second?

To convert megabits per hour (Mb/h) to kibibytes per second (KiB/s), you need to go through a few steps involving unit conversions.

The conversion steps are as follows:

1. Convert megabits to bits.
2. Convert hours to seconds.
3. Convert bits per second to kibibytes per second.

Step-by-Step Conversion:

1. Convert Megabits to Bits:

1 megabit (Mb) = 1,000,000 bits (base 10)

However, storage is often measured base 2: 1 megabit (Mb) = 2^20 bits = 1,048,576 bits (base 2)

2. Convert Hours to Seconds:

1 hour = 3600 seconds

3. Convert Bits per Second to Kibibytes per Second:

1 kibibyte (KiB) = 2^10 bytes = 1024 bytes = 8192 bits (because 1 byte = 8 bits)

Base 10 Conversion:

1. Start with 1 Megabit per hour:

$1 \text{ Mb/h} = 1,000,000 \text{ bits per hour}$

2. Convert hours to seconds:

$1 \text{ hour} = 3600 \text{ seconds}$

$\frac{1,000,000 \text{ bits}}{3600 \text{ seconds}} \approx 277.78 \text{ bits per second}$

3. Convert bits per second to kibibytes per second:

$1 \text{ KiB} = 8192 \text{ bits}$

$\frac{277.78 \text{ bits per second}}{8192 \text{ bits per KiB}} \approx 0.0339 \text{ KiB/s}$

Base 2 Conversion:

1. Start with 1 Megabit per hour:

$1 \text{ Mb/h} = 1,048,576 \text{ bits per hour}$

2. Convert hours to seconds:

$1 \text{ hour} = 3600 \text{ seconds}$

$\frac{1,048,576 \text{ bits}}{3600 \text{ seconds}} \approx 291.27 \text{ bits per second}$

3. Convert bits per second to kibibytes per second:

$1 \text{ KiB} = 8192 \text{ bits}$

$\frac{291.27 \text{ bits per second}}{8192 \text{ bits per KiB}} \approx 0.0356 \text{ KiB/s}$

Summary

• Base 10 Conversion: 1 Mb/h ≈ 0.0339 KiB/s
• Base 2 Conversion: 1 Mb/h ≈ 0.0356 KiB/s

Real-world Examples

1. 10 Megabits per hour:

   • Base 10: 10 Mb/h ≈ 0.339 KiB/s
   • Base 2: 10 Mb/h ≈ 0.356 KiB/s

2. 100 Megabits per hour:

   • Base 10: 100 Mb/h ≈ 3.39 KiB/s
   • Base 2: 100 Mb/h ≈ 3.56 KiB/s

3. 500 Megabits per hour:

   • Base 10: 500 Mb/h ≈ 16.95 KiB/s
   • Base 2: 500 Mb/h ≈ 17.8 KiB/s

4. 1000 Megabits per hour:

   • Base 10: 1000 Mb/h ≈ 33.9 KiB/s
   • Base 2: 1000 Mb/h ≈ 35.6 KiB/s

These conversions will help you understand the data transfer rates in a more practical and useful manner.