bits per second (bit/s) to Terabytes per second (TB/s) conversion

bits per second to Terabytes per second conversion table

bits per second (bit/s)Terabytes per second (TB/s)
00
11.25e-13
22.5e-13
33.75e-13
45e-13
56.25e-13
67.5e-13
78.75e-13
81e-12
91.125e-12
101.25e-12
202.5e-12
303.75e-12
405e-12
506.25e-12
607.5e-12
708.75e-12
801e-11
901.125e-11
1001.25e-11
10001.25e-10

How to convert bits per second to terabytes per second?

Sure, let's break down the conversion of 1 bit per second to terabytes per second in both base 10 and base 2 notations.

Base 10 (Decimal) Conversion

In base 10, the units progress as follows:

  • 1 byte (B) = 8 bits (b)
  • 1 kilobyte (KB) = 1,000 bytes = 10^3 bytes
  • 1 megabyte (MB) = 1,000 kilobytes = 10^6 bytes
  • 1 gigabyte (GB) = 1,000 megabytes = 10^9 bytes
  • 1 terabyte (TB) = 1,000 gigabytes = 10^12 bytes

To convert bits per second to terabytes per second: 1 bps = 1 / 8 bytes per second = 1 / (8 x 10^12) terabytes per second = 1.25 x 10^-13 terabytes per second

Therefore, 1 bps is equal to 1.25 x 10^-13 terabytes per second in base 10.

Base 2 (Binary) Conversion

In base 2, the units progress as follows:

  • 1 byte (B) = 8 bits (b)
  • 1 kibibyte (KiB) = 1,024 bytes = 2^10 bytes
  • 1 mebibyte (MiB) = 1,024 kibibytes = 2^20 bytes
  • 1 gibibyte (GiB) = 1,024 mebibytes = 2^30 bytes
  • 1 tebibyte (TiB) = 1,024 gibibytes = 2^40 bytes

To convert bits per second to tebibytes per second: 1 bps = 1 / 8 bytes per second = 1 / (8 x 2^40) tebibytes per second = 1 / 8,796,093,022,208 tebibytes per second = 1.13687 x 10^-13 tebibytes per second

Therefore, 1 bps is equal to approximately 1.13687 x 10^-13 tebibytes per second in base 2.

Real-World Examples of Data Transfer Rates

  1. 56 kbps Dial-up Modem:

    • In bits per second: 56,000 bps
    • In base 10 terabytes per second: 56,000 x 1.25 x 10^-13 ≈ 7 x 10^-9 TBps
  2. ADSL Broadband (typically 24 Mbps download speed):

    • In bits per second: 24,000,000 bps
    • In base 10 terabytes per second: 24,000,000 x 1.25 x 10^-13 ≈ 3 x 10^-5 TBps
  3. Ethernet LAN (1 Gbps speed):

    • In bits per second: 1,000,000,000 bps
    • In base 10 terabytes per second: 1,000,000,000 x 1.25 x 10^-13 ≈ 1.25 x 10^-4 TBps
  4. USB 3.0 (5 Gbps speed):

    • In bits per second: 5,000,000,000 bps
    • In base 10 terabytes per second: 5,000,000,000 x 1.25 x 10^-13 ≈ 6.25 x 10^-4 TBps
  5. Modern Data Center Network (up to 400 Gbps):

    • In bits per second: 400,000,000,000 bps
    • In base 10 terabytes per second: 400,000,000,000 x 1.25 x 10^-13 ≈ 5 x 10^-2 TBps or 0.05 TBps

These examples illustrate various data rates encountered in real-world communication and networking scenarios.

See below section for step by step unit conversion with formulas and explanations. Please refer to the table below for a list of all the Terabytes per second to other unit conversions.

What is bits per second?

Here's a breakdown of bits per second, its meaning, and relevant information for your website:

Understanding Bits per Second (bps)

Bits per second (bps) is a standard unit of data transfer rate, quantifying the number of bits transmitted or received per second. It reflects the speed of digital communication.

Formation of Bits per Second

  • Bit: The fundamental unit of information in computing, representing a binary digit (0 or 1).
  • Second: The standard unit of time.

Therefore, 1 bps means one bit of data is transmitted or received in one second. Higher bps values indicate faster data transfer speeds. Common multiples include:

  • Kilobits per second (kbps): 1 kbps = 1,000 bps
  • Megabits per second (Mbps): 1 Mbps = 1,000 kbps = 1,000,000 bps
  • Gigabits per second (Gbps): 1 Gbps = 1,000 Mbps = 1,000,000,000 bps
  • Terabits per second (Tbps): 1 Tbps = 1,000 Gbps = 1,000,000,000,000 bps

Base 10 vs. Base 2 (Binary)

In the context of data storage and transfer rates, there can be confusion between base-10 (decimal) and base-2 (binary) prefixes.

  • Base-10 (Decimal): As described above, 1 kilobit = 1,000 bits, 1 megabit = 1,000,000 bits, and so on. This is the common usage for data transfer rates.
  • Base-2 (Binary): In computing, especially concerning memory and storage, binary prefixes are sometimes used. In this case, 1 kibibit (Kibit) = 1,024 bits, 1 mebibit (Mibit) = 1,048,576 bits, and so on.

While base-2 prefixes (kibibit, mebibit, gibibit) exist, they are less commonly used when discussing data transfer rates. It's important to note that when representing memory, the actual binary value used in base 2 may affect the data transfer.

Real-World Examples

  • Dial-up Modem: A dial-up modem might have a maximum speed of 56 kbps (kilobits per second).
  • Broadband Internet: A typical broadband internet connection can offer speeds of 25 Mbps (megabits per second) or higher. Fiber optic connections can reach 1 Gbps (gigabit per second) or more.
  • Local Area Network (LAN): Wired LAN connections often operate at 1 Gbps or 10 Gbps.
  • Wireless LAN (Wi-Fi): Wi-Fi speeds vary greatly depending on the standard (e.g., 802.11ac, 802.11ax) and can range from tens of Mbps to several Gbps.
  • High-speed Data Transfer: Thunderbolt 3/4 ports can support data transfer rates up to 40 Gbps.
  • Data Center Interconnects: High-performance data centers use connections that can operate at 400 Gbps, 800 Gbps or even higher.

Relevant Laws and People

While there's no specific "law" directly tied to bits per second, Claude Shannon's work on information theory is fundamental.

  • Claude Shannon: Shannon's work, particularly the Noisy-channel coding theorem, establishes the theoretical maximum rate at which information can be reliably transmitted over a communication channel, given a certain level of noise. While not directly about "bits per second" as a unit, his work provides the theoretical foundation for understanding the limits of data transfer.

SEO Considerations

Using keywords like "data transfer rate," "bandwidth," and "network speed" will help improve search engine visibility. Focus on providing clear explanations and real-world examples to improve user engagement.

What is terabytes per second?

Terabytes per second (TB/s) is a unit of measurement for data transfer rate, indicating the amount of digital information that moves from one place to another per second. It's commonly used to quantify the speed of high-bandwidth connections, memory transfer rates, and other high-speed data operations.

Understanding Terabytes per Second

At its core, TB/s represents the transmission of trillions of bytes every second. Let's break down the components:

  • Byte: A unit of digital information that most commonly consists of eight bits.
  • Terabyte (TB): A multiple of the byte. The value of a terabyte depends on whether it is interpreted in base 10 (decimal) or base 2 (binary).

Decimal vs. Binary (Base 10 vs. Base 2)

The interpretation of "tera" differs depending on the context:

  • Base 10 (Decimal): In decimal, a terabyte is 101210^{12} bytes (1,000,000,000,000 bytes). This is often used by storage manufacturers when advertising drive capacity.
  • Base 2 (Binary): In binary, a terabyte is 2402^{40} bytes (1,099,511,627,776 bytes). This is technically a tebibyte (TiB), but operating systems often report storage sizes using the TB label when they are actually displaying TiB values.

Therefore, 1 TB/s can mean either:

  • Decimal: 1,000,000,000,0001,000,000,000,000 bytes per second, or 101210^{12} bytes/s
  • Binary: 1,099,511,627,7761,099,511,627,776 bytes per second, or 2402^{40} bytes/s

The difference is significant, so it's essential to understand the context. Networking speeds are typically expressed using decimal prefixes.

Real-World Examples (Speeds less than 1 TB/s)

While TB/s is extremely fast, here are some technologies that are approaching or achieving speeds in that range:

  • High-End NVMe SSDs: Top-tier NVMe solid-state drives can achieve read/write speeds of up to 7-14 GB/s (Gigabytes per second). Which is equivalent to 0.007-0.014 TB/s.

  • Thunderbolt 4: This interface can transfer data at speeds up to 40 Gbps (Gigabits per second), which translates to 5 GB/s (Gigabytes per second) or 0.005 TB/s.

  • PCIe 5.0: A computer bus interface. A single PCIe 5.0 lane can transfer data at approximately 4 GB/s. A x16 slot can therefore reach up to 64 GB/s, or 0.064 TB/s.

Applications Requiring High Data Transfer Rates

Systems and applications that benefit from TB/s speeds include:

  • Data Centers: Moving large datasets between servers, storage arrays, and network devices requires extremely high bandwidth.
  • High-Performance Computing (HPC): Scientific simulations, weather forecasting, and other complex calculations generate massive amounts of data that need to be processed and transferred quickly.
  • Advanced Graphics Processing: Transferring large textures and models in real-time.
  • 8K/16K Video Processing: Editing and streaming ultra-high-resolution video demands significant data transfer capabilities.
  • Artificial Intelligence/Machine Learning: Training AI models requires rapid access to vast datasets.

Interesting facts

While there isn't a specific law or famous person directly tied to the invention of "terabytes per second", Claude Shannon's work on information theory laid the groundwork for understanding data transmission and its limits. His work established the mathematical limits of data compression and reliable communication over noisy channels.

Complete bits per second conversion table

Enter # of bits per second
Convert 1 bit/s to other unitsResult
bits per second to Kilobits per second (bit/s to Kb/s)0.001
bits per second to Kibibits per second (bit/s to Kib/s)0.0009765625
bits per second to Megabits per second (bit/s to Mb/s)0.000001
bits per second to Mebibits per second (bit/s to Mib/s)9.5367431640625e-7
bits per second to Gigabits per second (bit/s to Gb/s)1e-9
bits per second to Gibibits per second (bit/s to Gib/s)9.3132257461548e-10
bits per second to Terabits per second (bit/s to Tb/s)1e-12
bits per second to Tebibits per second (bit/s to Tib/s)9.0949470177293e-13
bits per second to bits per minute (bit/s to bit/minute)60
bits per second to Kilobits per minute (bit/s to Kb/minute)0.06
bits per second to Kibibits per minute (bit/s to Kib/minute)0.05859375
bits per second to Megabits per minute (bit/s to Mb/minute)0.00006
bits per second to Mebibits per minute (bit/s to Mib/minute)0.00005722045898438
bits per second to Gigabits per minute (bit/s to Gb/minute)6e-8
bits per second to Gibibits per minute (bit/s to Gib/minute)5.5879354476929e-8
bits per second to Terabits per minute (bit/s to Tb/minute)6e-11
bits per second to Tebibits per minute (bit/s to Tib/minute)5.4569682106376e-11
bits per second to bits per hour (bit/s to bit/hour)3600
bits per second to Kilobits per hour (bit/s to Kb/hour)3.6
bits per second to Kibibits per hour (bit/s to Kib/hour)3.515625
bits per second to Megabits per hour (bit/s to Mb/hour)0.0036
bits per second to Mebibits per hour (bit/s to Mib/hour)0.003433227539063
bits per second to Gigabits per hour (bit/s to Gb/hour)0.0000036
bits per second to Gibibits per hour (bit/s to Gib/hour)0.000003352761268616
bits per second to Terabits per hour (bit/s to Tb/hour)3.6e-9
bits per second to Tebibits per hour (bit/s to Tib/hour)3.2741809263825e-9
bits per second to bits per day (bit/s to bit/day)86400
bits per second to Kilobits per day (bit/s to Kb/day)86.4
bits per second to Kibibits per day (bit/s to Kib/day)84.375
bits per second to Megabits per day (bit/s to Mb/day)0.0864
bits per second to Mebibits per day (bit/s to Mib/day)0.0823974609375
bits per second to Gigabits per day (bit/s to Gb/day)0.0000864
bits per second to Gibibits per day (bit/s to Gib/day)0.00008046627044678
bits per second to Terabits per day (bit/s to Tb/day)8.64e-8
bits per second to Tebibits per day (bit/s to Tib/day)7.8580342233181e-8
bits per second to bits per month (bit/s to bit/month)2592000
bits per second to Kilobits per month (bit/s to Kb/month)2592
bits per second to Kibibits per month (bit/s to Kib/month)2531.25
bits per second to Megabits per month (bit/s to Mb/month)2.592
bits per second to Mebibits per month (bit/s to Mib/month)2.471923828125
bits per second to Gigabits per month (bit/s to Gb/month)0.002592
bits per second to Gibibits per month (bit/s to Gib/month)0.002413988113403
bits per second to Terabits per month (bit/s to Tb/month)0.000002592
bits per second to Tebibits per month (bit/s to Tib/month)0.000002357410266995
bits per second to Bytes per second (bit/s to Byte/s)0.125
bits per second to Kilobytes per second (bit/s to KB/s)0.000125
bits per second to Kibibytes per second (bit/s to KiB/s)0.0001220703125
bits per second to Megabytes per second (bit/s to MB/s)1.25e-7
bits per second to Mebibytes per second (bit/s to MiB/s)1.1920928955078e-7
bits per second to Gigabytes per second (bit/s to GB/s)1.25e-10
bits per second to Gibibytes per second (bit/s to GiB/s)1.1641532182693e-10
bits per second to Terabytes per second (bit/s to TB/s)1.25e-13
bits per second to Tebibytes per second (bit/s to TiB/s)1.1368683772162e-13
bits per second to Bytes per minute (bit/s to Byte/minute)7.5
bits per second to Kilobytes per minute (bit/s to KB/minute)0.0075
bits per second to Kibibytes per minute (bit/s to KiB/minute)0.00732421875
bits per second to Megabytes per minute (bit/s to MB/minute)0.0000075
bits per second to Mebibytes per minute (bit/s to MiB/minute)0.000007152557373047
bits per second to Gigabytes per minute (bit/s to GB/minute)7.5e-9
bits per second to Gibibytes per minute (bit/s to GiB/minute)6.9849193096161e-9
bits per second to Terabytes per minute (bit/s to TB/minute)7.5e-12
bits per second to Tebibytes per minute (bit/s to TiB/minute)6.821210263297e-12
bits per second to Bytes per hour (bit/s to Byte/hour)450
bits per second to Kilobytes per hour (bit/s to KB/hour)0.45
bits per second to Kibibytes per hour (bit/s to KiB/hour)0.439453125
bits per second to Megabytes per hour (bit/s to MB/hour)0.00045
bits per second to Mebibytes per hour (bit/s to MiB/hour)0.0004291534423828
bits per second to Gigabytes per hour (bit/s to GB/hour)4.5e-7
bits per second to Gibibytes per hour (bit/s to GiB/hour)4.1909515857697e-7
bits per second to Terabytes per hour (bit/s to TB/hour)4.5e-10
bits per second to Tebibytes per hour (bit/s to TiB/hour)4.0927261579782e-10
bits per second to Bytes per day (bit/s to Byte/day)10800
bits per second to Kilobytes per day (bit/s to KB/day)10.8
bits per second to Kibibytes per day (bit/s to KiB/day)10.546875
bits per second to Megabytes per day (bit/s to MB/day)0.0108
bits per second to Mebibytes per day (bit/s to MiB/day)0.01029968261719
bits per second to Gigabytes per day (bit/s to GB/day)0.0000108
bits per second to Gibibytes per day (bit/s to GiB/day)0.00001005828380585
bits per second to Terabytes per day (bit/s to TB/day)1.08e-8
bits per second to Tebibytes per day (bit/s to TiB/day)9.8225427791476e-9
bits per second to Bytes per month (bit/s to Byte/month)324000
bits per second to Kilobytes per month (bit/s to KB/month)324
bits per second to Kibibytes per month (bit/s to KiB/month)316.40625
bits per second to Megabytes per month (bit/s to MB/month)0.324
bits per second to Mebibytes per month (bit/s to MiB/month)0.3089904785156
bits per second to Gigabytes per month (bit/s to GB/month)0.000324
bits per second to Gibibytes per month (bit/s to GiB/month)0.0003017485141754
bits per second to Terabytes per month (bit/s to TB/month)3.24e-7
bits per second to Tebibytes per month (bit/s to TiB/month)2.9467628337443e-7

Data transfer rate conversions