Megabits per second to Mebibits per day conversion

How to convert megabits per second to mebibits per day?

To convert 1 Megabit per second (Mbps) to Mebibits per day (Mib/day), we need to carefully consider the appropriate conversions between units, especially distinguishing between base 10 and base 2.

Base 10 Conversion

In the base 10 system: 1 Megabit (Mb) = 1,000,000 bits

To find out how many bits per day:

• 1 second = 1 Mbps = 1,000,000 bits
• 1 minute = 1,000,000 bits/second * 60 seconds = 60,000,000 bits
• 1 hour = 60,000,000 bits/minute * 60 minutes = 3,600,000,000 bits
• 1 day = 3,600,000,000 bits/hour * 24 hours = 86,400,000,000 bits

Now we need to convert bits to mebibits:

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

So, 1 day in Mib = 86,400,000,000 bits / 1,048,576 bits/Mib ≈ 82,225.16 Mib

Base 2 Conversion

In the base 2 system: 1 Megabit (Mb) ≠ 1,000,000 bits; instead, it's considered as: 1 Megabit (Mb) = 2^20 bits = 1,048,576 bits

To find out how many bits per day:

• 1 second = 1 Mbps = 1,048,576 bits
• 1 minute = 1,048,576 bits/second * 60 seconds = 62,914,560 bits
• 1 hour = 62,914,560 bits/minute * 60 minutes = 3,774,873,600 bits
• 1 day = 3,774,873,600 bits/hour * 24 hours = 90,597,926,400 bits

Now we need to convert bits to mebibits:

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

So, 1 day in Mib = 90,597,926,400 bits / 1,048,576 bits/Mib = 86,400 Mib

Real World Examples

Here are some other quantities of Megabits per second (Mbps) with their corresponding Mebibits per day (Mib/day):

1. 10 Mbps:

   • Base 10: $10 \times 82,225.16 \approx 822,251.6$ Mib/day
   • Base 2: $10 \times 86,400 = 864,000$ Mib/day

2. 50 Mbps:

   • Base 10: $50 \times 82,225.16 \approx 4,111,258$ Mib/day
   • Base 2: $50 \times 86,400 = 4,320,000$ Mib/day

3. 100 Mbps:

   • Base 10: $100 \times 82,225.16 \approx 8,222,516$ Mib/day
   • Base 2: $100 \times 86,400 = 8,640,000$ Mib/day

These examples illustrate how different rates of Mbps can be converted into Mib/day, showing the notable difference between base 10 and base 2 interpretations.