bits per second (bit/s) to Terabits per second (Tb/s) conversion

bits per second to Terabits per second conversion table

bits per second (bit/s)Terabits per second (Tb/s)
00
11e-12
22e-12
33e-12
44e-12
55e-12
66e-12
77e-12
88e-12
99e-12
101e-11
202e-11
303e-11
404e-11
505e-11
606e-11
707e-11
808e-11
909e-11
1001e-10
10001e-9

How to convert bits per second to terabits per second?

Sure, let's walk through the process of converting 1 bit per second (bps) to Terabits per second (Tbps). We'll consider both base 10 (decimal) and base 2 (binary) systems.

Base 10 (Decimal)

In base 10, the prefixes kilo, mega, giga, and tera represent powers of 10. Specifically:

  • 1 Kilobit = 1 Kb = 10^3 bits
  • 1 Megabit = 1 Mb = 10^6 bits
  • 1 Gigabit = 1 Gb = 10^9 bits
  • 1 Terabit = 1 Tb = 10^12 bits

To convert from bits per second to Terabits per second:

1bps×1Tb1012bits=1×1012Tbps=0.000000000001Tbps1 \, \text{bps} \times \frac{1 \, \text{Tb}}{10^{12} \, \text{bits}} = 1 \times 10^{-12} \, \text{Tbps} = 0.000000000001 \, \text{Tbps}

Base 2 (Binary)

In base 2, the prefixes kibi, mebi, gibi, and tebi represent powers of 2:

  • 1 Kibibit = 1 Kib = 2^10 bits = 1024 bits
  • 1 Mebibit = 1 Mib = 2^20 bits
  • 1 Gibibit = 1 Gib = 2^30 bits
  • 1 Tebibit = 1 Tib = 2^40 bits

To convert from bits per second to Tebibits per second:

1bps×1Tib240bits=1×240Tibps=1×11,099,511,627,776Tibps9.09×1013Tibps1 \, \text{bps} \times \frac{1 \, \text{Tib}}{2^{40} \, \text{bits}} = 1 \times 2^{-40} \, \text{Tibps} = 1 \times \frac{1}{1,099,511,627,776} \, \text{Tibps} \approx 9.09 \times 10^{-13} \, \text{Tibps}

Real World Examples

Let's consider some examples for other quantities of bits per second and how they relate to common data transfer rates:

  1. 1 Mbps (Megabit per second):

    • Base 10: 1,000,000bps1,000,000 \, \text{bps}
    • Base 2: 220bps1,048,576bps2^{20} \, \text{bps} \approx 1,048,576 \, \text{bps}
  2. 150 Mbps:

    • Base 10: 150×106bps=150,000,000bps150 \times 10^6 \, \text{bps} = 150,000,000 \, \text{bps}
  3. 1 Gbps (Gigabit per second):

    • Base 10: 1,000,000,000bps1,000,000,000 \, \text{bps}
    • Base 2: 230bps1,073,741,824bps2^{30} \, \text{bps} \approx 1,073,741,824 \, \text{bps}
  4. 10 Gbps:

    • Base 10: 10×109bps=10,000,000,000bps10 \times 10^9 \, \text{bps} = 10,000,000,000 \, \text{bps}
  5. 1 Tbps (Terabit per second):

    • Base 10: 1012bps10^{12} \, \text{bps}
    • Base 2: 240bps1,099,511,627,776bps2^{40} \, \text{bps} \approx 1,099,511,627,776 \, \text{bps}

Practical Applications

  1. Residential Broadband:

    • Typical speeds might be 100 Mbps or 500 Mbps.
  2. 5G Mobile Networks:

    • Promises data rates in the order of Gbps.
  3. Data Centers and High-Speed Network Backbones:

    • Utilize links of 10 Gbps, 40 Gbps, or even 100 Gbps.
  4. Internet Exchange Points:

    • Often use links of 1 Tbps and higher to handle massive amounts of internet traffic.

By understanding these conversions and real-world applications, you can appreciate the scale and capacity of different data transfer rates across various technologies.

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 Terabits 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 Terabits per second?

Terabits per second (Tbps) is a unit of data transfer rate, quantifying the amount of data transmitted per unit of time. Understanding the underlying principles and variations of this unit is crucial in today's high-speed digital world.

Understanding Terabits per Second

Tbps represents one trillion bits (binary digits) transferred per second. It measures bandwidth or data throughput, indicating the capacity of a communication channel. Higher Tbps values indicate faster and more efficient data transfer.

Formation of Terabits per Second

The metric prefix "Tera" represents 101210^{12} in the decimal system (base-10) and 2402^{40} in the binary system (base-2). This distinction is important when interpreting Tbps values in different contexts.

  • Base-10 (Decimal): 1 Tbps = 1,000,000,000,0001,000,000,000,000 bits per second
  • Base-2 (Binary): 1 Tbps = 1,099,511,627,7761,099,511,627,776 bits per second

In networking and telecommunications, base-10 is often used, while in computing and storage, base-2 is common. So depending on context you should find out if the measure uses base 2 or base 10.

Tbps in Context: Bits vs. Bytes

It's also important to distinguish between bits and bytes. One byte consists of 8 bits. Therefore:

1 Byte=8 bits1 \text{ Byte} = 8 \text{ bits}

To convert Tbps (bits per second) to Terabytes per second (TBps), divide by 8.

Applications and Examples of Terabits per Second

Tbps is relevant in fields requiring high bandwidth and rapid data transfer.

  • High-Speed Internet: Fiber optic internet connections can achieve Tbps speeds in backbone networks. See Terabit Ethernet from PCMag.
  • Data Centers: Internal networks within data centers utilize Tbps connections to support massive data processing and storage demands.
  • Telecommunications: Modern telecommunication networks rely on Tbps technology for transmitting voice, video, and data across long distances.
  • Scientific Research: Research institutions use Tbps data transfer for applications such as particle physics, astronomy, and climate modeling, where massive datasets need to be processed quickly. For example, the Square Kilometer Array (SKA) telescope is expected to generate data at rates approaching 1 Tbps.
  • Future Technologies: As technology advances, Tbps will be crucial for emerging fields such as 8K/16K video streaming, virtual reality, augmented reality, and advanced artificial intelligence.

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