Last updated: December 13, 2024

bps to Tbps Converter

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

Definitions of bps and Tbps

Let’s get started by understanding the key definitions and differences between bps and Tbps. 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 0.000000000001 terabits per second (Tbps) or 1×10-12 Tbps or 1e-12 Tbps.

What is terabits per second (Tbps)?

A Terabit per second (Tbps) is a unit of measurement for data transfer rates used when transferring data over a standard telecoms-grade fiber optic connection between telecommunications companies[2].

It is part of the International System of Units (SI) and uses decimal multiples of bits (1012). It has symbols or abbreviations such as Tbps, Tb/s, Tbit/s, or Terabit/s.

One terabit per second equals one trillion bits per second or 1,000,000,000,000 bps or 1012 bps.

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

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

Decimal formula: Tbps = bps × 0.000000000001

$$\text{Tbps}= \text{bps} \times 0.000000000001$$

Scientific notation formula: Tbps = 1 × 10-12 bps

$$\text{Tbps}= \text{bps} \times 10^{-12}$$

Or remember the bps-to-Tbps conversion factor: 1 bps = 0.000000000001 Tbps

Examples

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

Convert 500,000 bps to Tbps

Write down 500,000 bps and multiply it by the bps-to-Tbps conversion factor: 0.000000000001 or 10-12 to get the rate value in Tbps:

500,000 bps = (5×105) × (1×10-12) = 5×10-7 = 0.0000005 Tbps

So, 500,000 bits per second is equal to 0.0000005 terabits per second.

Alternatively, you can use our calculator by entering 500,000 into the bps box, and you instantly get the rate value in Tbps, in this case, 0.0000005 Tbps or 5e-7 Tbps.

Convert 500,000 bits to terabits per second
Convert 500,000 bps to Tbps using our calculator.

bps to Tbps conversion table

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

bits per secondTerabits per second
0.1 bps0.0000000000001 Tbps
0.5 bps0.0000000000005 Tbps
1 bps0.000000000001 Tbps
2 bps0.000000000002 Tbps
4 bps0.000000000004 Tbps
5 bps0.000000000005 Tbps
10 bps0.00000000001 Tbps
20 bps0.00000000002 Tbps
30 bps0.00000000003 Tbps
40 bps0.00000000004 Tbps
50 bps0.00000000005 Tbps
60 bps0.00000000006 Tbps
70 bps0.00000000007 Tbps
80 bps0.00000000008 Tbps
90 bps0.00000000009 Tbps
100 bps0.0000000001 Tbps
200 bps0.0000000002 Tbps
500 bps0.0000000005 Tbps
800 bps0.0000000008 Tbps
1000 bps0.000000001 Tbps
bits to Terabits per second conversion table

FAQs

Is 1 bps or 1 Tbps faster?

A Terabit per second (Tbps) is a trillion 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 Tbps = 1 × 1012 bps = 1,000,000,000,000 bps
  • 1 bps = 1 × 10-12 Tbps = 0.000000000001 Tbps

How to convert from bps to Tbps?

To convert a data transfer rate from bits per second (bps) to Terabits per second (Tbps), follow the simple steps below:

  • Write down the rate value in bits per second (bps).
  • Multiply it by the value of a bps-to-Tbps conversion factor: 0.000000000001 or 10-12 or 1e-12.
  • The result from multiplication is the value of the transfer rate in terabits per second (Tbps).

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

About this app

bps to Tbps Converter

The bps to Tbps converter is a simple tool for converting data transfer rate between bits per second (bps) and Terabits per second (Tbps), 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

2 Sources

  1. ⬆️ IEC. IEC 60027-2:2019 | IEC Webstore. Webstore.iec.ch. Published 2019. Accessed April 19, 2024.

    https://webstore.iec.ch/publication/30633
  2. ⬆️ Fiber-optic communication. (2024, December 5). In Wikipedia.

    https://en.wikipedia.org/wiki/Fiber-optic_communication