Mebibits per minute to Gibibytes per second conversion

How to convert mebibits per minute to gibibytes per second?

To convert 1 Mebibit per minute (Mibit/min) to Gibibytes per second (GiB/s), we need to carefully consider the relationships between the units involved.

Base 2 Conversion

1. Mebibits to Bits: 1 Mebibit (Mibit) is $2^{20}$ bits.

   $1 \text{ Mibit} = 1 \times 2^{20} \text{ bits} = 1,048,576 \text{ bits}$

2. Minutes to Seconds: 1 minute is $60$ seconds.

3. Calculate Bits per Second: Since there are 1,048,576 bits in 1 Mibit and 1 minute is 60 seconds, we can calculate bits per second:

   $\frac{1,048,576 \text{ bits}}{60 \text{ seconds}} = 17,476.2667 \text{ bits/second}$

4. Convert Bits to Gibibytes: 1 Gibibyte (GiB) is $2^{30}$ bits.

   To convert bits per second to GiB per second:

   $\frac{17,476.2667 \text{ bits/second}}{2^{30} \text{ bits}} = \frac{17,476.2667}{1,073,741,824} \text{ GiB/second}$

   $\approx 1.627 \times 10^{-5} \text{ GiB/second}$

Base 10 Conversion (for reference)

In the base 10 system, the conversion is slightly different:

1. Mebibits to Bits: 1 Mebibit (Mibit) is $10^6$ bits (assuming we treat 1 Mibit as 1 Megabit for simplicity in the decimal system, but this is not a standard approach).

   However, since we're following base 2 for Mebibits, let's continue with base 2.

Real World Examples for Other Quantities of Mebibits per Minute

1. 10 Mebibits per Minute: Convert 10 Mebibits per minute to Gibibytes per second:

   First, calculate bits per second: $\frac{10 \times 1,048,576 \text{ bits}}{60 \text{ seconds}} = 174,762.667 \text{ bits/second}$

   Convert bits per second to GiB per second: $\frac{174,762.667 \text{ bits/second}}{2^{30} \text{ bits}} = \frac{174,762.667}{1,073,741,824} \text{ GiB/second} \approx 1.627 \times 10^{-4} \text{ GiB/second}$

2. 100 Mebibits per Minute: Convert 100 Mebibits per minute:

   First, calculate bits per second: $\frac{100 \times 1,048,576 \text{ bits}}{60 \text{ seconds}} = 1,747,626.67 \text{ bits/second}$

   Convert bits per second to GiB per second: $\frac{1,747,626.67 \text{ bits/second}}{2^{30} \text{ bits}} = \frac{1,747,626.67}{1,073,741,824} \text{ GiB/second} \approx 1.627 \times 10^{-3} \text{ GiB/second}$

3. 1000 Mebibits per Minute: Convert 1000 Mebibits per minute:

   First, calculate bits per second: $\frac{1000 \times 1,048,576 \text{ bits}}{60 \text{ seconds}} = 17,476,266.7 \text{ bits/second}$

   Convert bits per second to GiB per second: $\frac{17,476,266.7 \text{ bits/second}}{2^{30} \text{ bits}} = \frac{17,476,266.7}{1,073,741,824} \text{ GiB/second} \approx 0.016 \text{ GiB/second}$

These calculations show how bits per second scale up with increasing mebibits per minute, and how they convert into gibibytes per second.