Gigabytes per hour to Kibibytes per second conversion

How to convert gigabytes per hour to kibibytes per second?

When converting data transfer rates from gigabytes per hour (GB/h) to kibibytes per second (KiB/s), it's important to consider whether we are using base 10 (decimal) or base 2 (binary). Let's go through the conversion process for both bases.

Base 10 (Decimal)

1 Gigabyte (GB) in base 10 is equivalent to 1,000,000,000 bytes.

1 hour is equivalent to 3,600 seconds.

To convert from gigabytes per hour to kibibytes per second:

1. First, convert gigabytes to bytes: $1 \text{ GB} = 1,000,000,000 \text{ bytes}$
2. Convert bytes to kibibytes (KiB) in base 10 (1 Kibibyte = 1,000 bytes): $\frac{1,000,000,000 \text{ bytes}}{1,000 \text{ bytes/KiB}} = 1,000,000 \text{ KiB}$
3. Now, convert hours to seconds: $1 \text{ hour} = 3,600 \text{ seconds}$
4. Finally, calculate kibibytes per second: $\frac{1,000,000 \text{ KiB}}{3,600 \text{ seconds}} \approx 277.78 \text{ KiB/s}$

Base 2 (Binary)

1 Gigabyte (GB) in base 2 is equivalent to 1,073,741,824 bytes.

1 hour is equivalent to 3,600 seconds.

To convert from gigabytes per hour to kibibytes per second:

1. First, convert gigabytes to bytes: $1 \text{ GB} = 1,073,741,824 \text{ bytes}$
2. Convert bytes to kibibytes (KiB) in base 2 (1 Kibibyte = 1,024 bytes): $\frac{1,073,741,824 \text{ bytes}}{1,024 \text{ bytes/KiB}} = 1,048,576 \text{ KiB}$
3. Now, convert hours to seconds: $1 \text{ hour} = 3,600 \text{ seconds}$
4. Finally, calculate kibibytes per second: $\frac{1,048,576 \text{ KiB}}{3,600 \text{ seconds}} \approx 291.27 \text{ KiB/s}$

Real World Examples

Base 10 (Decimal)

• 10 Gigabytes per hour: $\frac{10,000,000 \text{ KiB}}{3,600 \text{ seconds}} \approx 2,777.78 \text{ KiB/s}$

• 50 Gigabytes per hour: $\frac{50,000,000 \text{ KiB}}{3,600 \text{ seconds}} \approx 13,888.89 \text{ KiB/s}$

• 100 Gigabytes per hour: $\frac{100,000,000 \text{ KiB}}{3,600 \text{ seconds}} \approx 27,777.78 \text{ KiB/s}$

Base 2 (Binary)

• 10 GiB per hour: $\frac{10,485,760 \text{ KiB}}{3,600 \text{ seconds}} \approx 2,912.68 \text{ KiB/s}$

• 50 GiB per hour: $\frac{52,428,800 \text{ KiB}}{3,600 \text{ seconds}} \approx 14,563.41 \text{ KiB/s}$

• 100 GiB per hour: $\frac{104,857,600 \text{ KiB}}{3,600 \text{ seconds}} \approx 29,126.82 \text{ KiB/s}$

In summary, the conversion rates are different based on whether you use the base 10 (decimal) or base 2 (binary) measurements. For more accurate conversions and considering your use case, always specify which base you are referring to.