Bytes per hour to Gigabytes per minute conversion

How to convert bytes per hour to gigabytes per minute?

Converting data transfer rate from bytes per hour to gigabytes per minute involves a multi-step process, where you need to first convert the given unit (bytes per hour) to a smaller unit (bytes per minute), and then eventually convert bytes to gigabytes.

Here's how you go about it step-by-step:

Conversion Process

1. Convert bytes per hour to bytes per minute:

   • There are 60 minutes in an hour. So, to convert from bytes per hour to bytes per minute, you divide by 60. $\text{1 byte per hour} = \frac{1 \text{ byte}}{60 \text{ minutes}} \approx 0.0167 \text{ bytes per minute}$

2. Convert bytes to gigabytes:

   • In the decimal (base 10) system, 1 gigabyte (GB) is $10^9$ bytes.
   • In the binary (base 2) system, 1 gibibyte (GiB) is $2^{30}$ bytes ($1,073,741,824$ bytes).

Base 10 (Decimal)

To convert bytes per minute to gigabytes per minute in base 10: $0.0167 \text{ bytes per minute} \times \frac{1 \text{ GB}}{10^9 \text{ bytes}} = 1.67 \times 10^{-11} \text{ GB per minute}$

Base 2 (Binary)

To convert bytes per minute to gibibytes per minute in base 2: $0.0167 \text{ bytes per minute} \times \frac{1 \text{ GiB}}{2^{30} \text{ bytes}} = 0.0167 \times \frac{1}{1,073,741,824} \approx 1.56 \times 10^{-11} \text{ GiB per minute}$

Real World Examples

Here are some real-world examples for other quantities of bytes per hour:

Example 1 – Internet Speed:

• Internet service providing a speed of 5 Megabytes per hour:

  • Decimal (Base 10): $5 \text{ MB per hour} = \frac{5 \times 10^6 \text{ bytes}}{60 \text{ minutes}} \approx 83,333.33 \text{ bytes per minute}$ $83,333.33 \text{ bytes per minute} \times \frac{1 \text{ GB}}{10^9 \text{ bytes}} \approx 8.33 \times 10^{-5} \text{ GB per minute}$

  • Binary (Base 2): $83,333.33 \text{ bytes per minute} \times \frac{1 \text{ GiB}}{2^{30} \text{ bytes}} \approx 7.76 \times 10^{-5} \text{ GiB per minute}$

Example 2 – Data Backup:

• A backup system transferring 2 Gigabytes per hour:

  • Decimal (Base 10): $2 \text{ GB per hour} = \frac{2 \times 10^9 \text{ bytes}}{60 \text{ minutes}} \approx 33,333,333.33 \text{ bytes per minute}$ $33,333,333.33 \text{ bytes per minute} \times \frac{1 \text{ GB}}{10^9 \text{ bytes}} = 0.03333 \text{ GB per minute}$

  • Binary (Base 2): $33,333,333.33 \text{ bytes per minute} \times \frac{1 \text{ GiB}}{2^{30} \text{ bytes}} \approx 0.031 \text{ GiB per minute}$

By using these steps, you can easily convert any rate from bytes per hour to gigabytes per minute, both in base 10 and base 2 systems.