Bytes per second to Gigabytes per hour conversion

How to convert bytes per second to gigabytes per hour?

To convert 1 Byte per second to Gigabytes per hour, you need to account for the number of seconds in an hour and the conversion factor between Bytes and Gigabytes. Here’s how you can do it for both base 10 (decimal) and base 2 (binary) systems.

Base 10 (Decimal) System:

1. Convert Bytes per second to Bytes per hour:

   • There are 3600 seconds in an hour.
   • $1 \text{ Byte/second} \times 3600 \text{ seconds/hour} = 3600 \text{ Bytes/hour}$

2. Convert Bytes to Gigabytes (Decimal):

   • In the base 10 system, 1 Gigabyte (GB) is $10^9$ Bytes (or 1,000,000,000 Bytes).
   • $\frac{3600 \text{ Bytes/hour}}{1,000,000,000 \text{ Bytes/GB}} = 3.6 \times 10^{-6} \text{ GB/hour}$

Base 2 (Binary) System:

1. Convert Bytes per second to Bytes per hour:

   • Same conversion: $1 \text{ Byte/second} \times 3600 \text{ seconds/hour} = 3600 \text{ Bytes/hour}$

2. Convert Bytes to Gibibytes (Binary):

   • In the base 2 system, 1 Gibibyte (GiB) is $2^{30}$ Bytes (or 1,073,741,824 Bytes).
   • $\frac{3600 \text{ Bytes/hour}}{1,073,741,824 \text{ Bytes/GiB}} \approx 3.35 \times 10^{-6} \text{ GiB/hour}$

Real World Examples:

Let’s look at some more practical data transfer rates and how they convert:

Example 1: 1 Kilobyte per second (KBps)

• Base 10:

  • $1 \text{ KB/second} \times 1000 \text{ Bytes/KB} \times 3600 \text{ seconds/hour} = 3,600,000 \text{ Bytes/hour}$
  • $\frac{3,600,000 \text{ Bytes/hour}}{1,000,000,000 \text{ Bytes/GB}} = 0.0036 \text{ GB/hour}$

• Base 2:

  • $1 \text{ KiB/second} \times 1024 \text{ Bytes/KiB} \times 3600 \text{ seconds/hour} = 3,686,400 \text{ Bytes/hour}$
  • $\frac{3,686,400 \text{ Bytes/hour}}{1,073,741,824 \text{ Bytes/GiB}} \approx 0.00343 \text{ GiB/hour}$

Example 2: 1 Megabyte per second (MBps)

• Base 10:

  • $1 \text{ MB/second} \times 1,000,000 \text{ Bytes/MB} \times 3600 \text{ seconds/hour} = 3.6 \times 10^9 \text{ Bytes/hour}$
  • $\frac{3.6 \times 10^9 \text{ Bytes/hour}}{1,000,000,000 \text{ Bytes/GB}} = 3.6 \text{ GB/hour}$

• Base 2:

  • $1 \text{ MiB/second} \times 1,048,576 \text{ Bytes/MiB} \times 3600 \text{ seconds/hour} = 3,773,558,400 \text{ Bytes/hour}$
  • $\frac{3,773,558,400 \text{ Bytes/hour}}{1,073,741,824 \text{ Bytes/GiB}} \approx 3.51 \text{ GiB/hour}$

Example 3: 1 Gigabyte per second (GBps)

• Base 10:

  • $1 \text{ GB/second} \times 1,000,000,000 \text{ Bytes/GB} \times 3600 \text{ seconds/hour} = 3.6 \times 10^{12} \text{ Bytes/hour}$
  • $\frac{3.6 \times 10^{12} \text{ Bytes/hour}}{1,000,000,000 \text{ Bytes/GB}} = 3600 \text{ GB/hour}$

• Base 2:

  • $1 \text{ GiB/second} \times 1,073,741,824 \text{ Bytes/GiB} \times 3600 \text{ seconds/hour} = 3.870 \times 10^{12} \text{ Bytes/hour}$
  • $\frac{3.870 \times 10^{12} \text{ Bytes/hour}}{1,073,741,824 \text{ Bytes/GiB}} \approx 3600 \text{ GiB/hour}$

This shows you how to convert data transfer rates from bytes per second to gigabytes per hour and gives you a sense of the difference between the decimal and binary systems.