Mebibits per day to Mebibytes per second conversion

How to convert mebibits per day to mebibytes per second?

Converting Mebibits per day to Mebibytes per second involves several steps and understanding of data units. The conversion differs slightly between base 10 and base 2 calculations.

Conversion Factors

1 Mebibit (Mib) = 2^20 bits = 1,048,576 bits. 1 Mebibyte (MiB) = 2^20 bytes = 1,048,576 bytes.

There are 8 bits in a byte.

A day has:

• 24 hours
• 1,440 minutes
• 86,400 seconds

Base 2 Calculation

1. Convert Mebibits per day to bits per day: $1 \text{ Mib/day} = 1 \times 2^{20} \text{ bits/day} = 1,048,576 \text{ bits/day}$

2. Convert bits per day to bytes per day: $1,048,576 \text{ bits/day} \div 8 = 131,072 \text{ bytes/day}$

3. Convert bytes per day to bytes per second: $131,072 \text{ bytes/day} \div 86,400 \text{ seconds/day} \approx 1.515 \text{ bytes/second}$

4. Convert bytes per second to Mebibytes per second: $1.515 \text{ bytes/second} \div 2^{20} \approx 1.444 \times 10^{-6} \text{ MiB/s}$

So, 1 Mebibit per day ≈ 1.444 × 10^-6 Mebibytes per second in base 2.

Base 10 Calculation

Note: Mebibits and Mebibytes are typically based on base 2, but for illustration, we will convert as follows:

1. Convert Mebibits per day to bits per day: $1 \text{ Mib/day} (base 10) = 1,000,000 \text{ bits/day}$

2. Convert bits per day to bytes per day: $1,000,000 \text{ bits/day} \div 8 = 125,000 \text{ bytes/day}$

3. Convert bytes per day to bytes per second: $125,000 \text{ bytes/day} \div 86,400 \text{ seconds/day} \approx 1.447 \text{ bytes/second}$

4. Convert bytes per second to Mebibytes per second: $1.447 \text{ bytes/second} \div 2^{20} \approx 1.380 × 10^{-6} \text{ MiB/s}$

So, 1 Mebibit per day ≈ 1.380 × 10^-6 Mebibytes per second in base 10.

Real-World Examples

10 Mebibits per day

• Base 2: $10 \text{ Mebibits/day} \approx 14.44 × 10^{-6} \text{ Mebibytes/second}$
• Base 10: $10 \text{ Mebibits/day} \approx 13.80 × 10^{-6} \text{ Mebibytes/second}$

100 Mebibits per day

• Base 2: $100 \text{ Mebibits/day} \approx 144.4 × 10^{-6} \text{ Mebibytes/second}$
• Base 10: $100 \text{ Mebibits/day} \approx 138.0 × 10^{-6} \text{ Mebibytes/second}$

1000 Mebibits per day

• Base 2: $1000 \text{ Mebibits/day} \approx 1.444 × 10^{-3} \text{ Mebibytes/second}$
• Base 10: $1000 \text{ Mebibits/day} \approx 1.380 × 10^{-3} \text{ Mebibytes/second}$

These calculations give you an idea of the transfer rate in different bases, helping to see the difference between binary (base 2) and decimal (base 10) interpretations.