Terabytes per second (TB/s) to Tebibits per day (Tib/day) conversion

Terabytes per second to Tebibits per day conversion table

Terabytes per second (TB/s)Tebibits per day (Tib/day)
00
1628642.73786545
21257285.4757309
31885928.2135963
42514570.9514618
53143213.6893272
63771856.4271927
74400499.1650581
85029141.9029236
95657784.640789
106286427.3786545
2012572854.757309
3018859282.135963
4025145709.514618
5031432136.893272
6037718564.271927
7044004991.650581
8050291419.029236
9056577846.40789
10062864273.786545
1000628642737.86545

How to convert terabytes per second to tebibits per day?

Sure, let's break this down step by step.

Understanding Units

  1. Terabyte (TB): In base 10, 1 Terabyte = 101210^{12} bytes.
  2. Tebibit (Tib): In base 2, 1 Tebibit = 2402^{40} bits.

Conversion Factors

  1. Bits per Byte: 1 byte = 8 bits.

Step-by-Step Conversion

  1. Convert Terabytes to Bytes:

    • 1 Terabyte (TB) = 101210^{12} bytes (base 10).
  2. Convert Bytes to Bits:

    • 1 byte = 8 bits.
    • Therefore, 101210^{12} bytes = 1012×810^{12} \times 8 bits.
  3. Convert Bits to Tebibits:

    • 1 Tebibit (Tib) = 2402^{40} bits.
    • So, you need to divide the total bits by 2402^{40}.
  4. Convert Seconds to Days:

    • 1 day = 24 hours = 24×6024 \times 60 minutes = 24×60×6024 \times 60 \times 60 seconds = 86,400 seconds.

Base 10 Conversion

  1. Data Transfer Rate in Bits per Second:

    • 1 TB/s=1012 bytes/s×8 bits/byte=8×1012 bits/s1 \text{ TB/s} = 10^{12} \text{ bytes/s} \times 8 \text{ bits/byte} = 8 \times 10^{12} \text{ bits/s}
  2. Convert Seconds to One Day:

    • In one day: 8×1012 bits/s×86,400 s=6.912×1017 bits/day8 \times 10^{12} \text{ bits/s} \times 86,400 \text{ s} = 6.912 \times 10^{17} \text{ bits/day}.
  3. Convert Bits to Tebibits:

    • 6.912×1017 bits/day240 bits/Tib628.83 Tebibits/day (base 2)\frac{6.912 \times 10^{17} \text{ bits/day}}{2^{40} \text{ bits/Tib}} \approx 628.83 \text{ Tebibits/day (base 2)}.

Base 2 Conversion

In practice, we will often see networking hardware and data speeds use base 10 for convenience, but when dealing strictly with binary data, we might prefer base 2.

  1. Data Transfer Rate in Gibibytes:
    • 1 TB/s=1×10122301 \text{ TB/s} = \frac{1 \times 10^{12}}{2^{30}} Gibibytes/s ≈ 931.32 Gibibytes/s.
  2. Convert Bytes to Tebibits:
    • 1 Gibibyte = 2302^{30} bytes and 230×82^{30} \times 8 bits = 2332^{33} bits.
    • Therefore, 931.32 Gibibytes/s×233 bits/GibiByte931.32 \text{ Gibibytes/s} \times 2^{33} \text{ bits/GibiByte}7.450581×1012 bits/s×86,4007.450581 \times 10^{12} \text{ bits/s} \times 86,400 seconds ≈ 6.432×1017 bits/day6.432 \times 10^{17} \text{ bits/day}.
    • Therefore, convert to Tebibits: 6.432×1017240 bits/Tib585.14 Tebibits/day\frac{6.432 \times 10^{17}}{2^{40}} \text{ bits/Tib} \approx 585.14 \text{ Tebibits/day}.

Real World Examples of Terabytes per Second

  1. High-Speed Networks: Internet backbones and high-speed data centers may achieve multi-terabit-per-second data rates.
  2. Supercomputers: Some of the leading supercomputers have I/O systems moving many terabytes per second to handle immense computations.
  3. Large-Scale Data Transfers: Major data migrations within tech giants like Google or Facebook can involve terabytes per second to transfer massive datasets efficiently.

I hope this provides clarity on how to convert and the scale of the data!

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 Tebibits per day to other unit conversions.

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.

What is Tebibits per day?

Tebibits per day (Tibit/day) is a unit of data transfer rate, representing the amount of data transferred in a single day. It's particularly relevant in contexts dealing with large volumes of data, such as network throughput, data storage, and telecommunications. Due to the ambiguity of prefixes such as "Tera", we should be clear whether we are using base 2 or base 10.

Base 2 Definition

How is Tebibit Formed?

The term "Tebibit" comes from the binary prefix "tebi-", which stands for tera binary. "Tebi" represents 2402^{40}. A "bit" is the fundamental unit of information in computing, representing a binary digit (0 or 1). Therefore:

1 Tebibit (Tibit) = 2402^{40} bits = 1,099,511,627,776 bits

Tebibits per Day Calculation

To convert Tebibits to Tebibits per day, we consider the number of seconds in a day:

1 day = 24 hours = 24 * 60 minutes = 24 * 60 * 60 seconds = 86,400 seconds

Therefore, 1 Tebibit per day is:

240 bits86,400 seconds12,725,830.95 bits/second\frac{2^{40} \text{ bits}}{86,400 \text{ seconds}} \approx 12,725,830.95 \text{ bits/second}

So, 1 Tebibit per day is approximately equal to 12.73 Megabits per second (Mbps). This conversion allows us to understand the rate at which data is transferred on a daily basis in more relatable terms.

Base 10 Definition

How is Terabit Formed?

When using base 10 definition, the "Tera" stands for 101210^{12}.

1 Terabit (Tbit) = 101210^{12} bits = 1,000,000,000,000 bits

Terabits per Day Calculation

To convert Terabits to Terabits per day, we consider the number of seconds in a day:

1 day = 24 hours = 24 * 60 minutes = 24 * 60 * 60 seconds = 86,400 seconds

Therefore, 1 Terabit per day is:

1012 bits86,400 seconds11,574,074.07 bits/second\frac{10^{12} \text{ bits}}{86,400 \text{ seconds}} \approx 11,574,074.07 \text{ bits/second}

So, 1 Terabit per day is approximately equal to 11.57 Megabits per second (Mbps).

Real-World Examples

  • Network Backbones: A high-capacity network backbone might handle several Tebibits of data per day, especially in regions with high internet usage and numerous data centers.

  • Data Centers: Large data centers processing vast amounts of user data, backups, or scientific simulations might transfer data in the range of multiple Tebibits per day.

  • Content Delivery Networks (CDNs): CDNs distributing video content or software updates often handle traffic measured in Tebibits per day.

Notable Points and Context

  • IEC Binary Prefixes: The International Electrotechnical Commission (IEC) introduced the "tebi" prefix to eliminate ambiguity between decimal (base 10) and binary (base 2) interpretations of prefixes like "tera."
  • Storage vs. Transfer: It's important to distinguish between storage capacity (often measured in Terabytes or Tebibytes) and data transfer rates (measured in bits per second or Tebibits per day).

Further Reading

For more information on binary prefixes, refer to the IEC standards.

Complete Terabytes per second conversion table

Enter # of Terabytes per second
Convert 1 TB/s to other unitsResult
Terabytes per second to bits per second (TB/s to bit/s)8000000000000
Terabytes per second to Kilobits per second (TB/s to Kb/s)8000000000
Terabytes per second to Kibibits per second (TB/s to Kib/s)7812500000
Terabytes per second to Megabits per second (TB/s to Mb/s)8000000
Terabytes per second to Mebibits per second (TB/s to Mib/s)7629394.53125
Terabytes per second to Gigabits per second (TB/s to Gb/s)8000
Terabytes per second to Gibibits per second (TB/s to Gib/s)7450.5805969238
Terabytes per second to Terabits per second (TB/s to Tb/s)8
Terabytes per second to Tebibits per second (TB/s to Tib/s)7.2759576141834
Terabytes per second to bits per minute (TB/s to bit/minute)480000000000000
Terabytes per second to Kilobits per minute (TB/s to Kb/minute)480000000000
Terabytes per second to Kibibits per minute (TB/s to Kib/minute)468750000000
Terabytes per second to Megabits per minute (TB/s to Mb/minute)480000000
Terabytes per second to Mebibits per minute (TB/s to Mib/minute)457763671.875
Terabytes per second to Gigabits per minute (TB/s to Gb/minute)480000
Terabytes per second to Gibibits per minute (TB/s to Gib/minute)447034.83581543
Terabytes per second to Terabits per minute (TB/s to Tb/minute)480
Terabytes per second to Tebibits per minute (TB/s to Tib/minute)436.55745685101
Terabytes per second to bits per hour (TB/s to bit/hour)28800000000000000
Terabytes per second to Kilobits per hour (TB/s to Kb/hour)28800000000000
Terabytes per second to Kibibits per hour (TB/s to Kib/hour)28125000000000
Terabytes per second to Megabits per hour (TB/s to Mb/hour)28800000000
Terabytes per second to Mebibits per hour (TB/s to Mib/hour)27465820312.5
Terabytes per second to Gigabits per hour (TB/s to Gb/hour)28800000
Terabytes per second to Gibibits per hour (TB/s to Gib/hour)26822090.148926
Terabytes per second to Terabits per hour (TB/s to Tb/hour)28800
Terabytes per second to Tebibits per hour (TB/s to Tib/hour)26193.44741106
Terabytes per second to bits per day (TB/s to bit/day)691200000000000000
Terabytes per second to Kilobits per day (TB/s to Kb/day)691200000000000
Terabytes per second to Kibibits per day (TB/s to Kib/day)675000000000000
Terabytes per second to Megabits per day (TB/s to Mb/day)691200000000
Terabytes per second to Mebibits per day (TB/s to Mib/day)659179687500
Terabytes per second to Gigabits per day (TB/s to Gb/day)691200000
Terabytes per second to Gibibits per day (TB/s to Gib/day)643730163.57422
Terabytes per second to Terabits per day (TB/s to Tb/day)691200
Terabytes per second to Tebibits per day (TB/s to Tib/day)628642.73786545
Terabytes per second to bits per month (TB/s to bit/month)20736000000000000000
Terabytes per second to Kilobits per month (TB/s to Kb/month)20736000000000000
Terabytes per second to Kibibits per month (TB/s to Kib/month)20250000000000000
Terabytes per second to Megabits per month (TB/s to Mb/month)20736000000000
Terabytes per second to Mebibits per month (TB/s to Mib/month)19775390625000
Terabytes per second to Gigabits per month (TB/s to Gb/month)20736000000
Terabytes per second to Gibibits per month (TB/s to Gib/month)19311904907.227
Terabytes per second to Terabits per month (TB/s to Tb/month)20736000
Terabytes per second to Tebibits per month (TB/s to Tib/month)18859282.135963
Terabytes per second to Bytes per second (TB/s to Byte/s)1000000000000
Terabytes per second to Kilobytes per second (TB/s to KB/s)1000000000
Terabytes per second to Kibibytes per second (TB/s to KiB/s)976562500
Terabytes per second to Megabytes per second (TB/s to MB/s)1000000
Terabytes per second to Mebibytes per second (TB/s to MiB/s)953674.31640625
Terabytes per second to Gigabytes per second (TB/s to GB/s)1000
Terabytes per second to Gibibytes per second (TB/s to GiB/s)931.32257461548
Terabytes per second to Tebibytes per second (TB/s to TiB/s)0.9094947017729
Terabytes per second to Bytes per minute (TB/s to Byte/minute)60000000000000
Terabytes per second to Kilobytes per minute (TB/s to KB/minute)60000000000
Terabytes per second to Kibibytes per minute (TB/s to KiB/minute)58593750000
Terabytes per second to Megabytes per minute (TB/s to MB/minute)60000000
Terabytes per second to Mebibytes per minute (TB/s to MiB/minute)57220458.984375
Terabytes per second to Gigabytes per minute (TB/s to GB/minute)60000
Terabytes per second to Gibibytes per minute (TB/s to GiB/minute)55879.354476929
Terabytes per second to Terabytes per minute (TB/s to TB/minute)60
Terabytes per second to Tebibytes per minute (TB/s to TiB/minute)54.569682106376
Terabytes per second to Bytes per hour (TB/s to Byte/hour)3600000000000000
Terabytes per second to Kilobytes per hour (TB/s to KB/hour)3600000000000
Terabytes per second to Kibibytes per hour (TB/s to KiB/hour)3515625000000
Terabytes per second to Megabytes per hour (TB/s to MB/hour)3600000000
Terabytes per second to Mebibytes per hour (TB/s to MiB/hour)3433227539.0625
Terabytes per second to Gigabytes per hour (TB/s to GB/hour)3600000
Terabytes per second to Gibibytes per hour (TB/s to GiB/hour)3352761.2686157
Terabytes per second to Terabytes per hour (TB/s to TB/hour)3600
Terabytes per second to Tebibytes per hour (TB/s to TiB/hour)3274.1809263825
Terabytes per second to Bytes per day (TB/s to Byte/day)86400000000000000
Terabytes per second to Kilobytes per day (TB/s to KB/day)86400000000000
Terabytes per second to Kibibytes per day (TB/s to KiB/day)84375000000000
Terabytes per second to Megabytes per day (TB/s to MB/day)86400000000
Terabytes per second to Mebibytes per day (TB/s to MiB/day)82397460937.5
Terabytes per second to Gigabytes per day (TB/s to GB/day)86400000
Terabytes per second to Gibibytes per day (TB/s to GiB/day)80466270.446777
Terabytes per second to Terabytes per day (TB/s to TB/day)86400
Terabytes per second to Tebibytes per day (TB/s to TiB/day)78580.342233181
Terabytes per second to Bytes per month (TB/s to Byte/month)2592000000000000000
Terabytes per second to Kilobytes per month (TB/s to KB/month)2592000000000000
Terabytes per second to Kibibytes per month (TB/s to KiB/month)2531250000000000
Terabytes per second to Megabytes per month (TB/s to MB/month)2592000000000
Terabytes per second to Mebibytes per month (TB/s to MiB/month)2471923828125
Terabytes per second to Gigabytes per month (TB/s to GB/month)2592000000
Terabytes per second to Gibibytes per month (TB/s to GiB/month)2413988113.4033
Terabytes per second to Terabytes per month (TB/s to TB/month)2592000
Terabytes per second to Tebibytes per month (TB/s to TiB/month)2357410.2669954

Data transfer rate conversions