Last updated: December 12, 2024

bps to Gbps Converter

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

Definitions of bps and Gbps

Let’s get started by understanding the key definitions and differences between bps and Gbps. 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, b/s, or bit/s.

One bit per second equals 0.000000001 gigabits per second (Gbps) or 1×10-9 Gbps or 1e-9 Gbps.

What is gigabits per second (Gbps)?

A Gigabit per second (Gbps) is a unit of measurement for data transfer rates used when transferring data over the Internet via a 5G mobile network or a superhigh-speed fiber optic connection between Internet companies.

It is part of the International System of Units (SI) and uses decimal multiples of bits (109). It has symbols or abbreviations such as Gbps, Gb/s, Gbit/s, or Gigabit/s.

One gigabit per second equals one billion bits per second or 1,000,000,000 bps or 109 bps.

bps to Gbps 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 Gbps: n Gbps = n bps ÷ 1,000,000,000

$$n\ \text{Gbps} = \frac{n\ \text{bps}}{1,000,000,000}$$

Decimal formula: Gbps = bps × 0.000000001

$$\text{Gbps}= \text{bps} \times 0.000000001$$

Scientific notion formula: Gbps = 1 × 10-9 bps

$$\text{Gbps}= \text{bps} \times 10^{-9}$$

Or remember the bps-to-Gbps conversion factor: 1 bps = 0.000000001 Gbps

Examples

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

Convert 40,000 bps to Gbps

Write down 40,000 bps and multiply it by the bps-to-Gbps conversion factor: 0.000000001 or 10-9 to get the rate value in Gbps:

$40,000\text{ bps} = 40,000 \times 0.000000001 = 0.00004 \text{ Gbps}$

So, 40,000 bits per second is equal to 0.00004 gigabits per second.

Alternatively, you can use our calculator by entering 40,000 into the bps box, and you instantly get the rate value in Gbps, in this case, 0.00004 Gbps.

Convert 40,000 bits to gigabits per second
Convert 40,000 bps to Gbps using our calculator.

bps to Gbps conversion table

The conversion table below provides a handy reference for converting data rates from bits per second (bps) to gigabits per second (Gbps). 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 secondGigabits per second
0.1 bps0.0000000001 Gbps
0.5 bps0.0000000005 Gbps
1 bps0.000000001 Gbps
2 bps0.000000002 Gbps
4 bps0.000000004 Gbps
5 bps0.000000005 Gbps
10 bps0.00000001 Gbps
20 bps0.00000002 Gbps
30 bps0.00000003 Gbps
40 bps0.00000004 Gbps
50 bps0.00000005 Gbps
60 bps0.00000006 Gbps
70 bps0.00000007 Gbps
80 bps0.00000008 Gbps
90 bps0.00000009 Gbps
100 bps0.0000001 Gbps
200 bps0.0000002 Gbps
500 bps0.0000005 Gbps
800 bps0.0000008 Gbps
1,000 bps0.000001 Gbps
bits to Gigabits per second conversion table

FAQs

Is 1 bps or 1 Gbps faster?

A Gigabit per second (Gbps) is a 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 both units:

  • 1 Gbps = 1 × 109 bps = 1,000,000,000 bps
  • 1 bps = 1 × 10-9 Gbps = 0.000000001 Gbps

How to convert from bps to Gbps?

To convert a data transfer rate from bits per second (bps) to Gigabits per second (Gbps), 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: 0.000000001 or 10-9 or 1e-9.
  • The result from multiplication is the value of the transfer rate in gigabits per second (Gbps).

You now know how to convert data transfer rate from bits per second (bps) to Gigabits per second (Gbps). 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 Gbps Converter

About this app

bps to Gbps Converter

The bps to Gbps converter is a simple tool for converting data transfer rate between bits per second (bps) and Gigabits per second (Gbps), 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. IEC 60027-2:2019 | IEC Webstore. Webstore.iec.ch. Published 2019. Accessed April 19, 2024.

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