Last updated: December 29, 2024

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

Definitions of bps and KB/s

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

Since a byte equals eight bits (1B = 8b), a bit equals 1/8 B/s or 1/8 × 10-3 KB/s or 0.000125 KB/s or 1.25 × 10-4 KB/s.

What is Kilobytes per second (KB/s)?

A Kilobyte per second (KB/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 KBps, KB/s, Kbyte/s, or Kilobyte/s.

1 Byte equals 8 bits
1 Byte = 8 bits

Since a byte equals eight bits (1B = 8b), a kilobyte per second equals eight kilobits per second (1 KB/s = 8 Kbps).

In the International System of Units (SI), data storage and transfer rate units uses the decimal multiples of bytes (103), which means:

  • 1 KB/s = 1,000 B/s
  • 1 KB/s = 1,000 B/s × 8 = 8,000 bps

Please refer to the FAQs section to find out when 1 KB/s = 8 × 210 = 8,192 bps.

bps to KB/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 KB/s: R(KB/s) = R(bps) ÷ 8,000

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

Decimal formula: R(KB/s) = R(bps) × 0.000125

$$\text{R}_\text{(KB/s)} = \text{R}_\text{(bps)} \times 0.000125$$

Scientific notion formula: R(KB/s) = R(bps) × (1.25 × 10-4)

$$\text{R}_\text{(KB/s)} = \text{R}_\text{(bps)} \times (1.25 \times 10^{-4})$$

Or remember the bps-to-KBps conversion factor: 1 bps = 0.000125 KB/s

Examples

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

Convert 540 bps to KB/s

Write down 540 bps and multiply it by the bps-to-KBps conversion factor: 0.000125 or 1/8000 to get the rate value in KB/s:

$$\text{R}_\text{(KB/s)} = \frac{\text{R}_\text{(bps)}}{8,000}$$
$$\text{R}_\text{(KB/s)} = \frac{540}{8,000} = 0.0675 \text{ KB/s}$$

So, 540 bits per second is equal to 0.0675 kilobytes per second.

Alternatively, you can use our calculator by entering 540 into the bps box, and you instantly get the rate value in KB/s or KBps, in this case, 0.0675 KBps.

Convert 540 bps to KB/s with our calculator
Convert 540 bps to KB/s using our calculator.

bps to KB/s conversion table

The conversion table below provides a handy reference for converting data rates from bits per second (bps) to kilobytes per second (KB/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 secondKilobytes per second
0.1 bps0.0000125 KB/s
0.5 bps0.0000625 KB/s
1 bps0.000125 KB/s
2 bps0.00025 KB/s
4 bps0.0005 KB/s
5 bps0.000625 KB/s
10 bps0.00125 KB/s
20 bps0.0025 KB/s
30 bps0.00375 KB/s
40 bps0.005 KB/s
50 bps0.00625 KB/s
60 bps0.0075 KB/s
70 bps0.00875 KB/s
80 bps0.01 KB/s
90 bps0.01125 KB/s
100 bps0.0125 KB/s
200 bps0.025 KB/s
500 bps0.0625 KB/s
800 bps0.1 KB/s
1000 bps0.125 KB/s
Bits to kilobytes per second conversion table

FAQs

Is 1 bps or 1 KB/s faster?

A kilobyte per second (KB/s) is eight thousand 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 KB/s = 1,000 B/s
  • 1 KB/s = 8 x 1,000 = 8,000 bps
  • 1 bps = 1/8,000 = 0.000125 KB/s

How to convert from bps to KB/s?

To convert a data transfer rate from bits per second (bps) to kilobytes per second (KB/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-KBps conversion factor: 0.000125 or 1/8000.
  • The result from multiplication is the value of the transfer rate in kilobytes per second (KB/s).

Is 1 kilobyte per second (KB/s) equal to 1,024 bytes or 1,000 bytes per second?

1 KB/s can be defined as either 1,000 B/s (SI convention) or 1,024 B/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 KB/s = 210 Bytes/s = 1,024 B/s
  • 1 KB/s = 1,024 B/s × 8 bits/s = 8,192 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 Kilobyte per second (KB/s), you can use Kibibyte per second (KiB/s or KiBps) to refer to the binary system specifically:

  • 1 KiB/s = 210 Bytes/s = 1,024 B/s
  • 1 KiB/s = 1,024 B/s × 8 bits/s = 8,192 bps

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

About this app

bps to KB/s Converter

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