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

bits per hour to Terabits per second conversion table

bits per hour (bit/hour)Terabits per second (Tb/s)
00
12.7777777777778e-16
25.5555555555556e-16
38.3333333333333e-16
41.1111111111111e-15
51.3888888888889e-15
61.6666666666667e-15
71.9444444444444e-15
82.2222222222222e-15
92.5e-15
102.7777777777778e-15
205.5555555555556e-15
308.3333333333333e-15
401.1111111111111e-14
501.3888888888889e-14
601.6666666666667e-14
701.9444444444444e-14
802.2222222222222e-14
902.5e-14
1002.7777777777778e-14
10002.7777777777778e-13

How to convert bits per hour to terabits per second?

To convert from bits per hour (bph) to Terabits per second (Tbps), you need to understand the relationship between these units and how to convert between them.

  1. Conversion to base 10 (decimal): In base 10:
  • 1 Terabit (Tb) = 10^12 bits
  • 1 hour = 3600 seconds

So, starting with 1 bit per hour: 1bit/hour=1bit3600seconds1 \, \text{bit/hour} = \frac{1 \, \text{bit}}{3600 \, \text{seconds}}

Next, to convert bits to Terabits (Tb): 1bit3600seconds×1Tb1012bits=1Tb3600×1012seconds\frac{1 \, \text{bit}}{3600 \, \text{seconds}} \times \frac{1 \, \text{Tb}}{10^{12} \, \text{bits}} = \frac{1 \, \text{Tb}}{3600 \times 10^{12} \, \text{seconds}}

Simplifying the denominator: 1Tb3.6×1015seconds=2.78×1016Tbps\frac{1 \, \text{Tb}}{3.6 \times 10^{15} \, \text{seconds}} = 2.78 \times 10^{-16} \, \text{Tbps}

So 1 bit per hour is 2.78×10162.78 \times 10^{-16} Terabits per second in base 10.

  1. Conversion to base 2 (binary): In base 2:
  • 1 Terabit (Tb) = 2^40 bits (this is less common for Terabits, as base 2 is usually more relevant for bytes)

Let’s perform a similar calculation: 1bit/hour=1bit3600seconds1 \, \text{bit/hour} = \frac{1 \, \text{bit}}{3600 \, \text{seconds}}

Next, to convert bits to Terabits (Tb) in base 2: 1bit3600seconds×1Tb240bits=1Tb3600×240seconds\frac{1 \, \text{bit}}{3600 \, \text{seconds}} \times \frac{1 \, \text{Tb}}{2^{40} \, \text{bits}} = \frac{1 \, \text{Tb}}{3600 \times 2^{40} \, \text{seconds}}

Simplifying the denominator: 2401.1×10122^{40} \approx 1.1 \times 10^{12} 1Tb3600×1.1×1012seconds=1Tb3.96×1015seconds2.53×1016Tbps\frac{1 \, \text{Tb}}{3600 \times 1.1 \times 10^{12} \, \text{seconds}} = \frac{1 \, \text{Tb}}{3.96 \times 10^{15} \, \text{seconds}} \approx 2.53 \times 10^{-16} \, \text{Tbps}

So 1 bit per hour is approximately 2.53×10162.53 \times 10^{-16} Terabits per second in base 2.

Real-World Examples for Different Quantities of bits per hour:

  1. 56 kbps (kilobits per second) Dial-up Internet: To find its equivalent in bits per hour: 56,000bps×3600seconds/hour=2.016×108bits per hour56,000 \, \text{bps} \times 3600 \, \text{seconds/hour} = 2.016 \times 10^8 \, \text{bits per hour}

  2. 1 Mbps (Megabit per second) Broadband Internet: To find its equivalent in bits per hour: 1,000,000bps×3600seconds/hour=3.6×109bits per hour1,000,000 \, \text{bps} \times 3600 \, \text{seconds/hour} = 3.6 \times 10^9 \, \text{bits per hour}

  3. 1 Gbps (Gigabit per second) High-speed Internet: To find its equivalent in bits per hour: 1,000,000,000bps×3600seconds/hour=3.6×1012bits per hour1,000,000,000 \, \text{bps} \times 3600 \, \text{seconds/hour} = 3.6 \times 10^{12} \, \text{bits per hour}

By converting these amounts, you can see how typically smaller data transfer rates (when measured per hour) can still translate into notably larger quantities over time, giving context to various real-world data rates.

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 hour?

Bits per hour (bit/h) is a unit used to measure data transfer rate, representing the number of bits transferred or processed in one hour. It indicates the speed at which digital information is transmitted or handled.

Understanding Bits per Hour

Bits per hour is derived from the fundamental unit of information, the bit. A bit is the smallest unit of data in computing, representing a binary digit (0 or 1). Combining bits with the unit of time (hour) gives us a measure of data transfer rate.

To calculate bits per hour, you essentially count the number of bits transferred or processed during an hour-long period. This rate is used to quantify the speed of data transmission, processing, or storage.

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

When discussing data rates, the distinction between base-10 (decimal) and base-2 (binary) prefixes is crucial.

  • Base-10 (Decimal): Prefixes like kilo (K), mega (M), giga (G), etc., are based on powers of 10 (e.g., 1 KB = 1000 bits).
  • Base-2 (Binary): Prefixes like kibi (Ki), mebi (Mi), gibi (Gi), etc., are based on powers of 2 (e.g., 1 Kibit = 1024 bits).

Although base-10 prefixes are commonly used in marketing materials, base-2 prefixes are more accurate for technical specifications in computing. Using the correct prefixes helps avoid confusion and misinterpretation of data transfer rates.

Formula

The formula for calculating bits per hour is as follows:

Data Transfer Rate=Number of BitsTime in HoursData\ Transfer\ Rate = \frac{Number\ of\ Bits}{Time\ in\ Hours}

For example, if 8000 bits are transferred in one hour, the data transfer rate is 8000 bits per hour.

Interesting Facts

While there's no specific law or famous person directly associated with "bits per hour," Claude Shannon, an American mathematician and electrical engineer, is considered the "father of information theory". Shannon's work laid the foundation for digital communication and information storage. His theories provide the mathematical framework for quantifying and analyzing information, impacting how we measure and transmit data today.

Real-World Examples

Here are some real-world examples of approximate data transfer rates expressed in bits per hour:

  • Very Slow Modem (2400 baud): Approximately 2400 bits per hour.
  • Early Digital Audio Encoding: If you were manually converting audio to digital at the very beginning, you might process a few kilobits per hour.
  • Data Logging: Some very low-power sensors might log data at a rate of a few bits per hour to conserve energy.

It's important to note that bits per hour is a relatively small unit, and most modern data transfer rates are measured in kilobits per second (kbps), megabits per second (Mbps), or gigabits per second (Gbps). Therefore, bits per hour is more relevant in scenarios involving very low data transfer rates.

Additional Resources

  • For a deeper understanding of data transfer rates, explore resources on Bandwidth.
  • Learn more about the history of data and the work of Claude Shannon from Information Theory Basics.

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 hour conversion table

Enter # of bits per hour
Convert 1 bit/hour to other unitsResult
bits per hour to bits per second (bit/hour to bit/s)0.0002777777777778
bits per hour to Kilobits per second (bit/hour to Kb/s)2.7777777777778e-7
bits per hour to Kibibits per second (bit/hour to Kib/s)2.7126736111111e-7
bits per hour to Megabits per second (bit/hour to Mb/s)2.7777777777778e-10
bits per hour to Mebibits per second (bit/hour to Mib/s)2.6490953233507e-10
bits per hour to Gigabits per second (bit/hour to Gb/s)2.7777777777778e-13
bits per hour to Gibibits per second (bit/hour to Gib/s)2.5870071517097e-13
bits per hour to Terabits per second (bit/hour to Tb/s)2.7777777777778e-16
bits per hour to Tebibits per second (bit/hour to Tib/s)2.5263741715915e-16
bits per hour to bits per minute (bit/hour to bit/minute)0.01666666666667
bits per hour to Kilobits per minute (bit/hour to Kb/minute)0.00001666666666667
bits per hour to Kibibits per minute (bit/hour to Kib/minute)0.00001627604166667
bits per hour to Megabits per minute (bit/hour to Mb/minute)1.6666666666667e-8
bits per hour to Mebibits per minute (bit/hour to Mib/minute)1.5894571940104e-8
bits per hour to Gigabits per minute (bit/hour to Gb/minute)1.6666666666667e-11
bits per hour to Gibibits per minute (bit/hour to Gib/minute)1.5522042910258e-11
bits per hour to Terabits per minute (bit/hour to Tb/minute)1.6666666666667e-14
bits per hour to Tebibits per minute (bit/hour to Tib/minute)1.5158245029549e-14
bits per hour to Kilobits per hour (bit/hour to Kb/hour)0.001
bits per hour to Kibibits per hour (bit/hour to Kib/hour)0.0009765625
bits per hour to Megabits per hour (bit/hour to Mb/hour)0.000001
bits per hour to Mebibits per hour (bit/hour to Mib/hour)9.5367431640625e-7
bits per hour to Gigabits per hour (bit/hour to Gb/hour)1e-9
bits per hour to Gibibits per hour (bit/hour to Gib/hour)9.3132257461548e-10
bits per hour to Terabits per hour (bit/hour to Tb/hour)1e-12
bits per hour to Tebibits per hour (bit/hour to Tib/hour)9.0949470177293e-13
bits per hour to bits per day (bit/hour to bit/day)24
bits per hour to Kilobits per day (bit/hour to Kb/day)0.024
bits per hour to Kibibits per day (bit/hour to Kib/day)0.0234375
bits per hour to Megabits per day (bit/hour to Mb/day)0.000024
bits per hour to Mebibits per day (bit/hour to Mib/day)0.00002288818359375
bits per hour to Gigabits per day (bit/hour to Gb/day)2.4e-8
bits per hour to Gibibits per day (bit/hour to Gib/day)2.2351741790771e-8
bits per hour to Terabits per day (bit/hour to Tb/day)2.4e-11
bits per hour to Tebibits per day (bit/hour to Tib/day)2.182787284255e-11
bits per hour to bits per month (bit/hour to bit/month)720
bits per hour to Kilobits per month (bit/hour to Kb/month)0.72
bits per hour to Kibibits per month (bit/hour to Kib/month)0.703125
bits per hour to Megabits per month (bit/hour to Mb/month)0.00072
bits per hour to Mebibits per month (bit/hour to Mib/month)0.0006866455078125
bits per hour to Gigabits per month (bit/hour to Gb/month)7.2e-7
bits per hour to Gibibits per month (bit/hour to Gib/month)6.7055225372314e-7
bits per hour to Terabits per month (bit/hour to Tb/month)7.2e-10
bits per hour to Tebibits per month (bit/hour to Tib/month)6.5483618527651e-10
bits per hour to Bytes per second (bit/hour to Byte/s)0.00003472222222222
bits per hour to Kilobytes per second (bit/hour to KB/s)3.4722222222222e-8
bits per hour to Kibibytes per second (bit/hour to KiB/s)3.3908420138889e-8
bits per hour to Megabytes per second (bit/hour to MB/s)3.4722222222222e-11
bits per hour to Mebibytes per second (bit/hour to MiB/s)3.3113691541884e-11
bits per hour to Gigabytes per second (bit/hour to GB/s)3.4722222222222e-14
bits per hour to Gibibytes per second (bit/hour to GiB/s)3.2337589396371e-14
bits per hour to Terabytes per second (bit/hour to TB/s)3.4722222222222e-17
bits per hour to Tebibytes per second (bit/hour to TiB/s)3.1579677144893e-17
bits per hour to Bytes per minute (bit/hour to Byte/minute)0.002083333333333
bits per hour to Kilobytes per minute (bit/hour to KB/minute)0.000002083333333333
bits per hour to Kibibytes per minute (bit/hour to KiB/minute)0.000002034505208333
bits per hour to Megabytes per minute (bit/hour to MB/minute)2.0833333333333e-9
bits per hour to Mebibytes per minute (bit/hour to MiB/minute)1.986821492513e-9
bits per hour to Gigabytes per minute (bit/hour to GB/minute)2.0833333333333e-12
bits per hour to Gibibytes per minute (bit/hour to GiB/minute)1.9402553637822e-12
bits per hour to Terabytes per minute (bit/hour to TB/minute)2.0833333333333e-15
bits per hour to Tebibytes per minute (bit/hour to TiB/minute)1.8947806286936e-15
bits per hour to Bytes per hour (bit/hour to Byte/hour)0.125
bits per hour to Kilobytes per hour (bit/hour to KB/hour)0.000125
bits per hour to Kibibytes per hour (bit/hour to KiB/hour)0.0001220703125
bits per hour to Megabytes per hour (bit/hour to MB/hour)1.25e-7
bits per hour to Mebibytes per hour (bit/hour to MiB/hour)1.1920928955078e-7
bits per hour to Gigabytes per hour (bit/hour to GB/hour)1.25e-10
bits per hour to Gibibytes per hour (bit/hour to GiB/hour)1.1641532182693e-10
bits per hour to Terabytes per hour (bit/hour to TB/hour)1.25e-13
bits per hour to Tebibytes per hour (bit/hour to TiB/hour)1.1368683772162e-13
bits per hour to Bytes per day (bit/hour to Byte/day)3
bits per hour to Kilobytes per day (bit/hour to KB/day)0.003
bits per hour to Kibibytes per day (bit/hour to KiB/day)0.0029296875
bits per hour to Megabytes per day (bit/hour to MB/day)0.000003
bits per hour to Mebibytes per day (bit/hour to MiB/day)0.000002861022949219
bits per hour to Gigabytes per day (bit/hour to GB/day)3e-9
bits per hour to Gibibytes per day (bit/hour to GiB/day)2.7939677238464e-9
bits per hour to Terabytes per day (bit/hour to TB/day)3e-12
bits per hour to Tebibytes per day (bit/hour to TiB/day)2.7284841053188e-12
bits per hour to Bytes per month (bit/hour to Byte/month)90
bits per hour to Kilobytes per month (bit/hour to KB/month)0.09
bits per hour to Kibibytes per month (bit/hour to KiB/month)0.087890625
bits per hour to Megabytes per month (bit/hour to MB/month)0.00009
bits per hour to Mebibytes per month (bit/hour to MiB/month)0.00008583068847656
bits per hour to Gigabytes per month (bit/hour to GB/month)9e-8
bits per hour to Gibibytes per month (bit/hour to GiB/month)8.3819031715393e-8
bits per hour to Terabytes per month (bit/hour to TB/month)9e-11
bits per hour to Tebibytes per month (bit/hour to TiB/month)8.1854523159564e-11

Data transfer rate conversions