Mebibits per second to Megabits per day conversion

How to convert mebibits per second to megabits per day?

To convert 1 Mebibit per second (Mib/s) to Megabits per day, we need to understand the relationships between these units and perform the appropriate calculations. Let's break this down:

1. Mebibit per second (Mib/s):

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

2. Convert to bits per day:

   • There are 60 seconds in a minute.
   • There are 60 minutes in an hour.
   • There are 24 hours in a day.
   • Therefore, there are 60 * 60 * 24 = 86,400 seconds in a day.

3. Calculate bits per day:

   • 1,048,576 bits/second * 86,400 seconds/day = 90,949,766,400 bits/day.

4. Convert bits per day to Megabits per day:

   • Base 10 (decimal system): In the decimal system, 1 Megabit (Mb) is 10^6 bits = 1,000,000 bits.

     • 90,949,766,400 bits/day ÷ 1,000,000 bits/Mb = 90,949.7664 Megabits per day.

   • Base 2 (binary system): In the binary system, 1 Megabit (Mb) is 2^20 bits = 1,048,576 bits (same as Mebibit since both refer to 2^20 bits).

     • Since we are converting from bits directly calculated from Mebibits to Megabits where both use 1,048,576 bits, the answer in base 2 is:
     • 90,949,766,400 bits/day ÷ 1,048,576 bits/Mb = 86,400 Megabits per day.

Summary:

• In base 10: $1 \text{ Mib/s} = 90,949.7664 \text{ Mb/day}$.
• In base 2: $1 \text{ Mib/s} = 86,400 \text{ Mb/day}$.

Real World Examples for Other Quantities of Mebibits per Second:

1. 5 Mib/s Internet connection:

   • Base 10: $5 \times 90,949.7664 = 454,748.832 \text{ Mb/day}$.
   • Base 2: $5 \times 86,400 = 432,000 \text{ Mb/day}$.

2. 10 Mib/s streaming service:

   • Base 10: $10 \times 90,949.7664 = 909,497.664 \text{ Mb/day}$.
   • Base 2: $10 \times 86,400 = 864,000 \text{ Mb/day}$.

3. 100 Mib/s corporate network backbone:

   • Base 10: $100 \times 90,949.7664 = 9,094,976.64 \text{ Mb/day}$.
   • Base 2: $100 \times 86,400 = 8,640,000 \text{ Mb/day}$.

These examples illustrate how data rates, when scaled up, represent different amounts of data transferred over a period such as a day, based on the measurement system used.