In this article, we’ll show you how to convert data transfer rates from bits per second (bps) to terabytes per second (TB/s). We will cover essential definitions, provide examples, share relevant formulas, and present tables, along with answers to common questions.
Definitions of bps and TB/s
Let’s get started by understanding the key definitions and differences between bps and TB/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.
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 × 10-12 TB/s or 0.000000000000125 TB/s or 1.25 × 10-13 TB/s.
What is Terabytes per second (TB/s)?
A Terabyte per second (TB/s) measures data transfer rates during transfers between internal drives or over a local computer network using high-speed SSDs (Solid State Drives) and terabit networks.
It has symbols or abbreviations such as TBps, TB/s, Tbyte/s, or Terabyte/s.
Since a byte equals eight bits (1B = 8b), a terabyte per second equals eight terabits per second (1 TB/s = 8 Tbps).
In the International System of Units (SI), data storage and transfer rate units uses the decimal multiples of bytes (1012), which means:
1 TB/s = 1012 = 1,000,000,000,000 B/s1 TB/s = 8 × 1012 = 8,000,000,000,000 bps
Please refer to the FAQs section to find out when 1 TB/s = 8 × 240 = 8,796,093,022,208 bps.
bps to TB/s formula
Let’s take a closer look at the conversion formula so you can carry out these conversions independently, whether using a calculator or doing it manually with pencil and paper.
Fraction formula for converting from bps to TB/s: R(TB/s) = R(bps) ÷ 8,000,000,000,000
Decimal formula: R(TB/s) = R(bps) × 0.000000000000125
Scientific notion formula: R(TB/s) = R(bps) × (1.25 × 10-13)
Or remember the bps-to-TBps conversion factor: 1 bps = 0.000000000000125 TB/s
Examples
Now, let's take a look at an example that illustrates the calculations required to convert from bits per second to terabytes per second (bps to TB/s).
Convert 3200 bps to TB/s
Write down 3200 bps and multiply it by the bps-to-TBps conversion factor: 0.000000000000125 or 1/8,000,000,000,000 or 1/8 × 10-12 to get the rate value in TB/s:
So, 3,200 bits per second is equal to 0.0000000004 tergabytes per second.
Alternatively, you can use our calculator by entering 3200 into the bps box, and you instantly get the rate value in TB/s or TBps, in this case, 0.0000000004 TBps or 4 × 10-10 TBps or 4e-10 TB/s.
bps to TB/s conversion table
The conversion table below provides a handy reference for converting data rates from bits per second (bps) to terabytes per second (TB/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 second | Terabytes per second |
|---|---|
| 0.1 bps | 0.0000000000000125 TB/s |
| 0.5 bps | 0.0000000000625 TB/s |
| 1 bps | 0.000000000125 TB/s |
| 2 bps | 0.00000000025 TB/s |
| 4 bps | 0.0000000005 TB/s |
| 5 bps | 0.000000000625 TB/s |
| 10 bps | 0.00000000125 TB/s |
| 20 bps | 0.0000000025 TB/s |
| 30 bps | 0.00000000375 TB/s |
| 40 bps | 0.000000005 TB/s |
| 50 bps | 0.00000000625 TB/s |
| 60 bps | 0.0000000075 TB/s |
| 70 bps | 0.00000000875 TB/s |
| 80 bps | 0.00000001 TB/s |
| 90 bps | 0.00000001125 TB/s |
| 100 bps | 0.0000000125 TB/s |
| 200 bps | 0.000000025 TB/s |
| 500 bps | 0.0000000625 TB/s |
| 800 bps | 0.0000001 TB/s |
| 1000 bps | 0.000000125 TB/s |
FAQs
Is 1 bps or 1 TB/s faster?
A terabyte per second (TB/s) is eight 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 the units:
1 B/s = 8 bps1 TB/s = 1 × 1012 = 1,000,000,000,000 B/s1 TB/s = 8 x 1012 = 8,000,000,000,000 bps1 bps = 1 ÷ (8 x 1012) = 1/8 x 10-12 = 0.000000000000125 TB/s
How to convert from bps to TB/s?
To convert a data transfer rate from bits per second (bps) to terabytes per second (TB/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-TBpsconversion factor:0.000000000000125or1/8,000,000,000,000or1/8 × 10-12. - The result from multiplication is the value of the transfer rate in
terabytes per second (TB/s).
Is 1 terabyte per second (TB/s) equal to 1,024 gigabytes or 1,000 gigabytes per second?
1 TB/s can be defined as either 1,000 GB/s (SI convention) or 1,024 GB/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 TB/s = 210 Gigabytes/s = 1,024 GB/s1 TB/s = 240 bytes/s = 1,099,511,627,776 B/s1 TB/s = 8 × 1,099,511,627,776 = 8,796,093,022,208 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.
So, instead of using Terabyte per second (TB/s), you can use Tebibyte per second (TiB/s or TiBps) to refer to the binary system specifically:
1 TiB/s = 210 Gibibytes/s = 1,024 GiB/s1 TiB/s = 240 bytes/s = 1,099,511,627,776 B/s1 TiB/s = 8 × 1,099,511,627,776 = 8,796,093,022,208 bps
You now know how to convert a data transfer rate from bits per second (bps) to terabytes per second (TB/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 data storage units.
