Gibibits per minute to Megabits per second conversion

How to convert gibibits per minute to megabits per second?

Sure, I can help you with that. To convert 1 Gibibit per minute (Gib/min) to Megabits per second (Mbps), you need to take into account the definitions of Gibibit and Megabit, and you also need to deal with the conversion from minutes to seconds.

Definitions and Conversions

1 Gibibit (Gib) is equal to 2^30 bits.

1 Megabit (Mb) is equal to 10^6 bits (base 10) or 2^20 bits (base 2).

Base 10 Conversion

Steps:

1. Convert Gibibits to bits: $1 \, \text{Gib} = 2^{30} \, \text{bits} = 1,073,741,824 \, \text{bits}$

2. Convert minutes to seconds: $1 \, \text{minute} = 60 \, \text{seconds}$

3. Calculate bits per second: $\frac{1,073,741,824 \, \text{bits}}{60 \, \text{seconds}} = 17,895,697.0667 \, \text{bits/second}$

4. Convert bits per second to Megabits per second (Mbps) using base 10: $\frac{17,895,697.0667 \, \text{bits/second}}{10^6 \, \text{bits/Mb}} = 17.8957 \, \text{Mbps}$

So, 1 Gibibit per minute is approximately 17.90 Mbps in base 10.

Base 2 Conversion

Steps:

1. Convert Gibibits to bits: $1 \, \text{Gib} = 2^{30} \, \text{bits} = 1,073,741,824 \, \text{bits}$

2. Convert minutes to seconds: $1 \, \text{minute} = 60 \, \text{seconds}$

3. Calculate bits per second: $\frac{1,073,741,824 \, \text{bits}}{60 \, \text{seconds}} = 17,895,697.0667 \, \text{bits/second}$

4. Convert bits per second to Megabits per second (Mbps) using base 2: $\frac{17,895,697.0667 \, \text{bits/second}}{2^{20} \, \text{bits/Mb}} = \frac{17,895,697.0667}{1,048,576} \approx 17.072 \, \text{Mbps}$

So, 1 Gibibit per minute is approximately 17.08 Mbps in base 2.

Real World Examples

2 Gibibits per Minute

• Base 10: $2 \times 17.90 \approx 35.80 \, \text{Mbps}$
• Base 2: $2 \times 17.08 \approx 34.16 \, \text{Mbps}$

5 Gibibits per Minute

• Base 10: $5 \times 17.90 \approx 89.50 \, \text{Mbps}$
• Base 2: $5 \times 17.08 \approx 85.40 \, \text{Mbps}$

10 Gibibits per Minute

• Base 10: $10 \times 17.90 \approx 179.00 \, \text{Mbps}$
• Base 2: $10 \times 17.08 \approx 170.80 \, \text{Mbps}$

These examples help you understand the data transfer rate in different quantities when converting Gibibits per minute to Megabits per second.