Mebibits per day to Megabits per hour conversion

How to convert mebibits per day to megabits per hour?

To convert from Mebibits per day to Megabits per hour, it's important to recognize the difference between base 2 and base 10 calculations.

Base 2 (Mebibits to Mebibits):

1 Mebibit (Mib) = 2^20 bits = 1,048,576 bits

1 Mebibit per day means: $1 \text{ Mib/day}$

There are 24 hours in a day, so to convert Mebibits per day to Mebibits per hour: $\text{Mebibits per hour (Mib/hr)} = \frac{1 \text{ Mib/day}}{24 \text{ hours/day}}$

$= \frac{1,048,576 \text{ bits}}{24 \text{ hours}}$

Since it is still in Mebibits:

$\text{Mib/hr} = \frac{1}{24} \approx 0.04167 \text{ Mib/hr}$

To convert from Mebibits per hour to Megabits per hour, where 1 Megabit (Mb) = 10^6 bits (base 10):

$\frac{\text{0.04167 Mib/hr}}{2^{20}} \times 10^{6}$

So, $= 0.04167 \times \frac{1,048,576}{1,000,000}$ $= 0.04167 \times 1.048576 \approx 0.0437 \text{ Mb/hr}$

Base 10 (Mebibits to Megabits using base conversion only):

To convert directly from Mib to Mb: $1 \text{ Mib} = 1.048576 \text{ Megabits (Mb)}$

Therefore, $1 \text{ Mib/day} = 1.048576 \text{ Mb/day}$

So, $1.048576 \text{ Mb/day} / 24 \text{ hours} \approx 0.04369 \text{ Mb/hr}$

Real-world examples for other quantities:

1. 30 Mebibits per day:

   $\frac{30 \text{ Mib}}{24 \text{ hours}} = 1.25 \text{ Mib/hr}$

   Base 10: $30 \text{ Mib/day} \approx 31.45728 \text{ Mb/day}$ $= 31.45728 \text{ Mb/day} / 24 \text{ hours} \approx 1.31 \text{ Mb/hr}$

2. 50 Mebibits per day:

   $\frac{50 \text{ Mib}}{24 \text{ hours}} = 2.08 \text{ Mib/hr}$

   Base 10: $50 \text{ Mib/day} \approx 52.43 \text{ Mb/day}$ $= 52.43 \text{ Mb/day} / 24 \text{ hours} \approx 2.18 \text{ Mb/hr}$

3. 100 Mebibits per day:

   $\frac{100 \text{ Mib}}{24 \text{ hours}} = 4.17 \text{ Mib/hr}$

   Base 10: $100 \text{ Mib/day} \approx 104.86 \text{ Mb/day}$ $= 104.86 \text{ Mb/day} / 24 \text{ hours} \approx 4.37 \text{ Mb/hr}$

Through these examples, it is evident how the conversion might vary with different units (base 2 or base 10) and how to convert large quantities of data over different periods.