Last updated: December 29, 2024

bps to GB/s Converter

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In this article, we’ll show you how to convert data transfer rates from bits per second (bps) to gigabytes per second (GB/s). We will cover essential definitions, provide examples, share relevant formulas, and present tables, along with answers to common questions.

Definitions of bps and GB/s

Let’s get started by understanding the key definitions and differences between bps and GB/s. Understanding these terms will allow you to perform conversions confidently.

Data transfer rates utilize International System of Units (SI) prefixes to simplify measuring and comparing. This standardization helps in conversions and understanding data transfer.

The table below shows all the SI prefixes and the associated symbols, multipliers, and colloquials.

International System of Units (SI) Prefixes
International System of Units (SI) Prefixes

What is bits per second (bps)?

A bit per second (bps) is the smallest unit to measure data transfer rates[1]. It can only represent two possible values: 0 or 1. It has symbols or abbreviations such as bps, bd/s, or bit/s.

Since a byte equals eight bits (1B = 8b), a bit equals 1/8 B/s or 1/8 × 10-9 GB/s or 0.000000000125 GB/s or 1.25 × 10-10 GB/s.

What is Gigabytes per second (GB/s)?

A Gigabyte per second (GB/s) is a unit of measurement for data transfer rates used when data is transferred between internal drives or over a local computer network.

It has symbols or abbreviations such as GBpsGB/sGbyte/s, or Gigabyte/s.

1 Byte equals 8 bits
1 Byte = 8 bits

Since a byte equals eight bits (1B = 8b), a gigabyte per second equals eight gigabits per second (1 GB/s = 8 Gbps).

In the International System of Units (SI), data storage and transfer rate units uses the decimal multiples of bytes (109), which means:

  • 1 GB/s = 109 = 1,000,000,000 B/s
  • 1 GB/s = 8 × 1,000,000,000 = 8,000,000,000 bps

Please refer to the FAQs section to find out when 1 GB/s = 8 × 230 = 8,589,934,592 bps.

bps to GB/s formula

Let’s take a closer look at the conversion formula so you can carry out these conversions independently, whether you're using a calculator or doing it manually with pencil and paper.

Fraction formula for converting from bps to GB/s: R(GB/s) = R(bps) ÷ 8,000,000,000

$$\text{R}_\text{(GB/s)} = \frac{\text{R}_\text{(bps)}}{8,000,000,000}$$

Decimal formula: R(GB/s) = R(bps) × 0.000000000125

$$\text{R}_\text{(GB/s)} = \text{R}_\text{(bps)} \times 0.000000000125$$

Scientific notion formula: R(GB/s) = R(bps) × (1.25 × 10-10)

$$\text{R}_\text{(GB/s)} = \text{R}_\text{(bps)} \times (1.25 \times 10^{-10})$$

Or remember the bps-to-GBps conversion factor: 1 bps = 0.000000000125 GB/s

Examples

Now, let's take a look at an example that illustrates the calculations required to convert from bits per second to gigabytes per second (bps to GB/s).

Convert 2400 bps to GB/s

Write down 2400 bps and multiply it by the bps-to-GBps conversion factor: 0.000000000125 or 1/8,000,000,000 to get the rate value in GB/s:

$$\text{R}_\text{(GB/s)} = \frac{\text{R}_\text{(bps)}}{8,000,000,000}$$
$$\text{R}_\text{(GB/s)} = \frac{2,400}{8,000,000,000} = 0.0000003 = 3 \times 10^{-7} \text{ GB/s}$$

So, 2,400 bits per second is equal to 0.0000003 gigabytes per second.

Alternatively, you can use our calculator by entering 2400 into the bps box, and you instantly get the rate value in GB/s or GBps, in this case, 0.0000003 GBps or 3 × 10-7 GBps or 3e-7 GB/s.

Convert 2,400 bits to gigabytes per second
Convert 2,400 bps to GB/s using our calculator.

bps to GB/s conversion table

The conversion table below provides a handy reference for converting data rates from bits per second (bps) to gigabytes per second (GB/s). It covers a range from 0.1 bps to 1,000 bps, allowing for easy and quick conversions between these units of measurement.

Bits per secondGigabytes per second
0.1 bps0.0000000000125 GB/s
0.5 bps0.0000000000625 GB/s
1 bps0.000000000125 GB/s
2 bps0.00000000025 GB/s
4 bps0.0000000005 GB/s
5 bps0.000000000625 GB/s
10 bps0.00000000125 GB/s
20 bps0.0000000025 GB/s
30 bps0.00000000375 GB/s
40 bps0.000000005 GB/s
50 bps0.00000000625 GB/s
60 bps0.0000000075 GB/s
70 bps0.00000000875 GB/s
80 bps0.00000001 GB/s
90 bps0.00000001125 GB/s
100 bps0.0000000125 GB/s
200 bps0.000000025 GB/s
500 bps0.0000000625 GB/s
800 bps0.0000001 GB/s
1000 bps0.000000125 GB/s
Bits to gigabytes per second conversion table

FAQs

Is 1 bps or 1 GB/s faster?

A gigabyte per second (GB/s) is eight billion times faster than a bit per second (bps). A bit per second (bps) is the smallest unit for measuring data transfer rates. Here are the relationships between the units:

  • 1 B/s = 8 bps
  • 1 GB/s = 1 × 109 = 1,000,000,000 B/s
  • 1 GB/s = 8 x 109 = 8,000,000,000 bps
  • 1 bps = 1 ÷ (8 x 109) = 1/8 x 10-9 = 0.000000000125 GB/s

How to convert from bps to GB/s?

To convert a data transfer rate from bits per second (bps) to gigabytes per second (GB/s), follow the simple steps below:

  • Write down the rate value in bits per second (bps).
  • Multiply it by the value of a bps-to-GBps conversion factor: 0.000000000125 or 1/8,000,000,000.
  • The result from multiplication is the value of the transfer rate in gigabytes per second (GB/s).

Is 1 gigabyte per second (GB/s) equal to 1,024 megabytes or 1,000 megabytes per second?

1 GB/s can be defined as either 1,000 MB/s (SI convention) or 1,024 MB/s (binary convention), depending on which standard you choose to use.

In the binary system, where used by most computer operating systems (e.g. Windows, macOS, and Linux), units are powered by two instead of 10, which means:

  • 1 GB/s = 210 Megabytes/s = 1,024 MB/s
  • 1 GB/s = 230 bytes/s = 1,073,741,824 B/s
  • 1 GB/s = 8 × 1,073,741,824 = 8,589,934,592 bps

To avoid this confusion, the International Electrotechnical Commission (IEC) introduced new prefixes for the binary system.

The table below lists all binary prefixes, their symbols, and multipliers for the byte unit.

Binary (Byte) Prefixes
Binary prefixes for the byte unit

So, instead of using Gigabyte per second (GB/s), you can use Gibibyte per second (GiB/s or GiBps) to refer to the binary system specifically:

  • 1 GiB/s = 210 Mebibytes/s = 1,024 MiB/s
  • 1 GiB/s = 230 bytes/s = 1,073,741,824 B/s
  • 1 GiB/s = 8 × 1,073,741,824 = 8,589,934,592 bps

You now know how to convert a data transfer rate from bits per second (bps) to gigabytes per second (GB/s). You can quickly use our calculator to convert between the rate units to save time for future calculations.

For further understanding, check our data storage converter page to learn more about the differences between decimal and binary units of data storage.

bps to GB/s Converter

About this app

bps to GB/s Converter

The bps to GB/s converter is a simple tool for converting data transfer rate between bits per second (bps) and gigabytes per second (GB/s), with explanations, formulas, examples, and tables.

Availability

You can use the calculator for free as a PWA web app online or install it locally on any modern operating system, including Android, iOS, Windows 11/10, and macOS.

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References

1 Source

  1. ⬆️ IEC 60027-2: Letter symbols to be used in electrical technology - Part 2: Telecommunications and electronics. Published 2019. Accessed April 19, 2024.

    https://webstore.iec.ch/publication/30633