Gibibytes per hour to Mebibits per second conversion

How to convert gibibytes per hour to mebibits per second?

To convert 1 Gibibyte per hour (GiB/h) to Mebibits per second (Mib/s), you need to understand the relationship between these units in both base 2 and base 10 standards.

Base 2 (Binary System)

1 Gibibyte (GiB) = 2^30 bytes = 1,073,741,824 bytes 1 Mebibit (Mib) = 2^20 bits = 1,048,576 bits 1 byte = 8 bits

1. Convert Gibibytes to bytes:

$1 \, \text{GiB} = 1,073,741,824 \, \text{bytes}$

2. Convert bytes to bits:

$1 \, \text{GiB} = 1,073,741,824 \times 8 \, \text{bits} = 8,589,934,592 \, \text{bits}$

3. Convert bits to Mebibits:

$8,589,934,592 \, \text{bits} = \frac{8,589,934,592}{1,048,576} \, \text{Mib} \approx 8192 \, \text{Mib}$

4. Convert hours to seconds:

$1 \, \text{hour} = 3600 \, \text{seconds}$

5. Calculate the rate in Mib per second:

$\frac{8192 \, \text{Mib}}{3600 \, \text{seconds}} \approx 2.2756 \, \text{Mib/s}$

Base 10 (Decimal System)

1 Gigabyte (GB) = 10^9 bytes = 1,000,000,000 bytes 1 Megabit (Mb) = 10^6 bits = 1,000,000 bits 1 byte = 8 bits

(Note: The decimal system is typically used in networking to measure data transfer rates.)

1. Convert Gigabytes to bytes:

$1 \, \text{GB} = 1,000,000,000 \, \text{bytes}$

2. Convert bytes to bits:

$1 \, \text{GB} = 1,000,000,000 \times 8 \, \text{bits} = 8,000,000,000 \, \text{bits}$

3. Convert bits to Megabits:

$8,000,000,000 \, \text{bits} = \frac{8,000,000,000}{1,000,000} \, \text{Mb} = 8000 \, \text{Mb}$

4. Calculate the rate in Mb per second:

$\frac{8000 \, \text{Mb}}{3600 \, \text{seconds}} \approx 2.2222 \, \text{Mb/s}$

Real-world Examples

Base 2:

• 10 GiB/h would translate to $10 \times 2.2756 \, \text{Mib/s} \approx 22.756 \, \text{Mib/s}$.
• 50 GiB/h would translate to $50 \times 2.2756 \, \text{Mib/s} \approx 113.78 \, \text{Mib/s}$.

Base 10:

• 10 GB/h would translate to $10 \times 2.2222 \, \text{Mb/s} \approx 22.222 \, \text{Mb/s}$.
• 50 GB/h would translate to $50 \times 2.2222 \, \text{Mb/s} \approx 111.11 \, \text{Mb/s}$.

In conclusion, for converting 1 Gibibyte per hour to Mebibits per second (base 2), the result is approximately 2.2756 Mib/s, and for converting 1 Gigabyte per hour to Megabits per second (base 10), the result is approximately 2.2222 Mb/s.