Megabits per minute to Gibibytes per hour conversion

How to convert megabits per minute to gibibytes per hour?

To convert from Megabits per minute to Gibibytes per hour, we'll go through several conversion steps.

Conversion Steps:

1. Convert Megabits per minute to Megabits per hour: Since there are 60 minutes in an hour, multiply the given rate by 60.

   $\text{Megabits per hour} = \text{Megabits per minute} \times 60$

   $1 \text{ Megabit per minute} \times 60 = 60 \text{ Megabits per hour}$

2. Convert Megabits to Bits: Since 1 Megabit is $10^6$ bits in base 10 and $2^{20}$ bits in base 2:

   $\text{Bits} = 60 \text{ Megabits} \times 10^6 (\text{base 10}) = 60 \times 1,000,000 = 60,000,000 \text{ bits}$

   $\text{Bits} = 60 \text{ Megabits} \times 2^{20} (\text{base 2}) = 60 \times 1,048,576 = 62,914,560 \text{ bits}$

3. Convert Bits to Gibibits: Gibibit is a binary unit where 1 Gibibit = $2^{30}$ bits.

   $\text{Gibibits} = \frac{\text{Bits}}{2^{30}}$

   For base 10:

   $\text{Gibibits} = \frac{60,000,000}{2^{30}} = \frac{60,000,000}{1,073,741,824} \approx 0.0559 \text{ Gibibits}$

   For base 2:

   $\text{Gibibits} = \frac{62,914,560}{2^{30}} = \frac{62,914,560}{1,073,741,824} \approx 0.0586 \text{ Gibibits}$

4. Convert Gibibits to Gibibytes: 1 Gibibyte = 8 Gibibits.

   $\text{Gibibytes} = \frac{\text{Gibibits}}{8}$

   For base 10:

   $\text{Gibibytes} = \frac{0.0559}{8} \approx 0.007 \text{ Gibibytes}$

   For base 2:

   $\text{Gibibytes} = \frac{0.0586}{8} \approx 0.0073 \text{ Gibibytes}$

Summary:

• Base 10: $1 \text{ Megabit per minute} \approx 0.007 \text{ Gibibytes per hour}$
• Base 2: $1 \text{ Megabit per minute} \approx 0.0073 \text{ Gibibytes per hour}$

Real-World Examples

1. 10 Megabits per minute:

   • Base 10: $10 \text{ Megabits per minute} \approx 0.07 \text{ Gibibytes per hour}$
   • Base 2: $10 \text{ Megabits per minute} \approx 0.073 \text{ Gibibytes per hour}$

2. 50 Megabits per minute:

   • Base 10: $50 \text{ Megabits per minute} \approx 0.35 \text{ Gibibytes per hour}$
   • Base 2: $50 \text{ Megabits per minute} \approx 0.365 \text{ Gibibytes per hour}$

3. 100 Megabits per minute:

   • Base 10: $100 \text{ Megabits per minute} \approx 0.7 \text{ Gibibytes per hour}$
   • Base 2: $100 \text{ Megabits per minute} \approx 0.73 \text{ Gibibytes per hour}$

These calculations illustrate how different data transfer rates, measured in Megabits per minute, can be converted to Gibibytes per hour using both base 10 and base 2 units.