Last updated: December 29, 2024

bps to B/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 bytes per second (B/s). We will cover essential definitions, provide examples, share relevant formulas, and present tables, along with answers to common questions.

Definitions of bps and B/s

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

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 0.125 bytes per second (B/s).

What is bytes per second (B/s)?

A Byte per second (B/s) is a unit of measurement used to indicate data transfer rates when transferring data between internal drives or computers over a local network.

Each byte transferred represents 8 bits of data (1 byte = 8 bits), corresponding to one ASCII (American Standard Code for Information Interchange) character.

1 Byte equals 8 bits
1 Byte = 8 bits

So, transferring a text file that contains 800 characters at a rate of 100 B/s will take approximately 8 seconds to complete.

It has symbols or abbreviations such as Bps, B/s, or byte/s.

One byte per second equals eight bits per second (1 B/s = 8 bps), or 8 × 10-3 Kbps or 0.008 Kbps.

bps to B/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 B/s: R(B/s) = R(bps) ÷ 8

$$\text{R}_\text{(B/s)} = \frac{\text{R}_\text{(bps)}}{8}$$

Decimal formula: R(B/s) = R(bps) × 0.125

$$\text{R}_\text{(B/s)} = \text{R}_\text{(bps)} \times 0.125$$

Or remember the bps-to-Bps conversion factor: 1 bps = 0.125 B/s

Examples

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

Convert 64 bps to B/s

Write down 64 bps and multiply it by the bps-to-Bps conversion factor: 0.125 or 1/8 to get the rate value in B/s:

$$\text{R}_\text{(B/s)} = \frac{\text{R}_\text{(bps)}}{8}$$
$$\text{R}_\text{(B/s)} = \frac{64}{8} = 8 \text{ B/s}$$

So, 64 bits per second is equal to 8 bytes per second.

Alternatively, you can use our calculator by entering 64 into the bps box, and you instantly get the rate value in B/s or Bps, in this case, 8 Bps.

Convert 64 bps to B/s with our calculator
Convert 64 bps to B/s using our calculator.

bps to B/s conversion table

The conversion table below provides a handy reference for converting data rates from bits per second (bps) to bytes per second (B/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 secondBytes per second
0.1 bps0.0125 B/s
0.5 bps0.0625 B/s
1 bps0.125 B/s
2 bps0.25 B/s
4 bps0.5 B/s
5 bps0.625 B/s
10 bps1.25 B/s
20 bps2.5 B/s
30 bps3.75 B/s
40 bps5 B/s
50 bps6.25 B/s
60 bps7.5 B/s
70 bps8.75 B/s
80 bps10 B/s
90 bps11.25 B/s
100 bps12.5 B/s
200 bps25 B/s
500 bps62.5 B/s
800 bps100 B/s
1,000 bps125 B/s
Bits to bytes per second conversion table

FAQs

Is 1 bps or 1 B/s faster?

A byte per second (B/s) is eight 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 bps = 1/8 = 0.125 B/s

How to convert from bps to B/s?

To convert a data transfer rate from bits per second (bps) to bytes per second (B/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-Bps conversion factor: 0.125 or 1/8.
  • The result from multiplication is the value of the transfer rate in bytes per second (B/s).

You now know how to convert data transfer rate from bits per second (bps) to bytes per second (B/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 B/s Converter

About this app

bps to B/s Converter

The bps to B/s converter is a simple tool for converting data transfer rate between bits per second (bps) and bytes per second (B/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