Gigabytes per hour to Megabits per second conversion

How to convert gigabytes per hour to megabits per second?

Sure, let's break down the conversion process from Gigabytes per hour (GB/hr) to Megabits per second (Mbps).

Base 10 (Decimal System)

1. Convert Gigabytes to Megabytes: 1 Gigabyte (GB) = 1,000 Megabytes (MB) as per the decimal system.

2. Convert Megabytes to Megabits: 1 Megabyte (MB) = 8 Megabits (Mb), because there are 8 bits in a byte.

3. Convert hours to seconds: 1 hour = 3,600 seconds (since 1 hour = 60 minutes * 60 seconds/minute).

4. Calculate the data transfer rate in Mbps: $\text{Data Transfer Rate (Mbps)} = \left( \frac{\text{1 GB}}{\text{hour}} \right) \times \left( \frac{1,000 \text{ MB}}{1 \text{ GB}} \right) \times \left( \frac{8 \text{ Mb}}{1 \text{ MB}} \right) \times \left( \frac{1 \text{ hour}}{3,600 \text{ seconds}} \right)$

   Simplifying this: $\text{Data Transfer Rate (Mbps)} = \left( 1 \times 1,000 \times 8 \right) / 3,600$ $= 8,000 / 3,600$ $\approx 2.22 \text{ Mbps}$

Base 2 (Binary System)

1. Convert Gigabytes to Mebibytes: 1 Gibibyte (GiB) = 1,024 Mebibytes (MiB) as per the binary system.

2. Convert Mebibytes to Mebibits: 1 Mebibyte (MiB) = 8 Mebibits (Mib), because there are 8 bits in a byte.

3. Convert hours to seconds: 1 hour = 3,600 seconds.

4. Calculate the data transfer rate in Mibps: $\text{Data Transfer Rate (Mibps)} = \left( \frac{\text{1 GiB}}{\text{hour}} \right) \times \left( \frac{1,024 \text{ MiB}}{1 \text{ GiB}} \right) \times \left( \frac{8 \text{ Mib}}{1 \text{ MiB}} \right) \times \left( \frac{1 \text{ hour}}{3,600 \text{ seconds}} \right)$

   Simplifying this: $\text{Data Transfer Rate (Mibps)} = \left( 1 \times 1,024 \times 8 \right) / 3,600$ $= 8,192 / 3,600$ $\approx 2.28 \text{ Mibps}$

Examples for Other Quantities

Let's consider some practical examples for different data transfer rates:

1. 10 Gigabytes per hour:

   • Base 10: $10 \text{ GB/hr} = 10 \times 2.22 \text{ Mbps} = 22.22 \text{ Mbps}$
   • Base 2: $10 \text{ GiB/hr} = 10 \times 2.28 \text{ Mibps} = 22.78 \text{ Mibps}$

2. 50 Gigabytes per hour:

   • Base 10: $50 \text{ GB/hr} = 50 \times 2.22 \text{ Mbps} = 111.11 \text{ Mbps}$
   • Base 2: $50 \text{ GiB/hr} = 50 \times 2.28 \text{ Mibps} = 113.90 \text{ Mibps}$

3. 100 Gigabytes per hour:

   • Base 10: $100 \text{ GB/hr} = 100 \times 2.22 \text{ Mbps} = 222.22 \text{ Mbps}$
   • Base 2: $100 \text{ GiB/hr} = 100 \times 2.28 \text{ Mibps} = 227.78 \text{ Mibps}$

These examples illustrate how data transfer rates can scale with increasing amounts of Gigabytes per hour when converted to Megabits per second.