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bits per hour (bit/hour) to Mebibits per second (Mib/s) conversion

bits per hour to Mebibits per second conversion table

bits per hour (bit/hour)Mebibits per second (Mib/s)
00
12.6490953233507e-10
25.2981906467014e-10
37.9472859700521e-10
41.0596381293403e-9
51.3245476616753e-9
61.5894571940104e-9
71.8543667263455e-9
82.1192762586806e-9
92.3841857910156e-9
102.6490953233507e-9
205.2981906467014e-9
307.9472859700521e-9
401.0596381293403e-8
501.3245476616753e-8
601.5894571940104e-8
701.8543667263455e-8
802.1192762586806e-8
902.3841857910156e-8
1002.6490953233507e-8
10002.6490953233507e-7

How to convert bits per hour to mebibits per second?

Sure, let's break down the conversion from bits per hour to Mebibits per second and explore the difference between base 10 and base 2 results, along with some real-world examples.

Understanding the Units:

  1. Bits per hour (b/h) is a unit that measures data transfer rate per hour.
  2. Mebibit (Mibit) is a binary-based data size unit where 1 Mibit = 2^20 bits.

Conversion Steps:

  1. Convert bits per hour to bits per second (b/s):

    • There are 3600 seconds in an hour.
    • Therefore, to convert from bits per hour to bits per second: bits per second=bits per hour3600 \text{bits per second} = \frac{\text{bits per hour}}{3600}

  2. Convert bits per second to Mebibits per second:

    • In base 2 (binary system), 1 Mibit = 2^20 bits. Mebibits per second (base 2)=bits per second220 \text{Mebibits per second (base 2)} = \frac{\text{bits per second}}{2^{20}}

Calculation:

  1. Convert 1 bit per hour to bits per second: bits per second=1 bit per hour3600 seconds per hour=2.77778×10−4 bits per second \text{bits per second} = \frac{1 \text{ bit per hour}}{3600 \text{ seconds per hour}} = 2.77778 \times 10^{-4} \text{ bits per second}

  2. Convert bits per second to Mebibits per second (Base 2): Mebibits per second (base 2)=2.77778×10−4 bits per second220≈2.647×10−10 Mibits per second \text{Mebibits per second (base 2)} = \frac{2.77778 \times 10^{-4} \text{ bits per second}}{2^{20}} \approx 2.647 \times 10^{-10} \text{ Mibits per second}

So, 1 bit per hour is approximately 2.647×10−10 Mibits per second2.647 \times 10^{-10} \text{ Mibits per second} (base 2).

Real-World Examples for Other Quantities of Bits per Hour:

  1. 56 Kbit/h:

    • Common speed in early dial-up modems.
    • bits per second=560003600≈15.56 b/s\text{bits per second} = \frac{56000}{3600} \approx 15.56 \text{ b/s}
    • Mebibits per second=15.56220≈1.485×10−5 Mibits per second\text{Mebibits per second} = \frac{15.56}{2^{20}} \approx 1.485 \times 10^{-5} \text{ Mibits per second}

  2. 10 Gbit/h (10 billion bits per hour):

    • Comparable to high-speed network transfer over several hours.
    • bits per second=10×1093600≈2.777×106 b/s\text{bits per second} = \frac{10 \times 10^9}{3600} \approx 2.777 \times 10^6 \text{ b/s}
    • Mebibits per second=2.777×106220≈2.647 Mibits per second\text{Mebibits per second} = \frac{2.777 \times 10^6}{2^{20}} \approx 2.647 \text{ Mibits per second}

Base 10 (Decimal System) Comparison:

  • In base 10, Mebibits per second would still use the same conversion from b/h to b/s: Megabits per second (base 10)=2.77778×10−4 bits per second106=2.77778×10−10 Megabits per second \text{Megabits per second (base 10)} = \frac{2.77778 \times 10^{-4} \text{ bits per second}}{10^6} = 2.77778 \times 10^{-10} \text{ Megabits per second}
  • The slight difference is due to the varying definition of the prefix "Mega" in base 10 (which is 10^6) versus base 2 (which is 2^20).

So,

  • 1 bit per hour=2.647×10−10 Mibits per second1 \text{ bit per hour} = 2.647 \times 10^{-10} \text{ Mibits per second} (base 2)
  • 1 bit per hour=2.77778×10−10 Megabits per second1 \text{ bit per hour} = 2.77778 \times 10^{-10} \text{ Megabits per second} (base 10)

The difference is subtle but distinct when dealing with binary (base 2) and decimal (base 10) interpretations of data transfer 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 Mebibits 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 Mebibits per second?

Mebibits per second (Mbit/s) is a unit of data transfer rate, commonly used in networking and telecommunications. It represents the number of mebibits (MiB) of data transferred per second. Understanding the components and context is crucial for interpreting this unit accurately.

Understanding Mebibits

A mebibit (Mibit) is a unit of information based on powers of 2. It's important to differentiate it from a megabit (Mb), which is based on powers of 10.

  • 1 mebibit (Mibit) = 2202^{20} bits = 1,048,576 bits
  • 1 megabit (Mb) = 10610^6 bits = 1,000,000 bits

This difference can lead to confusion, especially when comparing storage capacities or data transfer rates. The IEC (International Electrotechnical Commission) introduced the term "mebibit" to provide clarity and avoid ambiguity.

Mebibits per Second (Mbit/s)

Mebibits per second (Mibit/s) indicates the rate at which data is transmitted or received. A higher Mbit/s value signifies faster data transfer.

Data Transfer Rate (Mibit/s)=Amount of Data (Mibit)Time (seconds)\text{Data Transfer Rate (Mibit/s)} = \frac{\text{Amount of Data (Mibit)}}{\text{Time (seconds)}}

Example: A network connection with a download speed of 100 Mbit/s can theoretically download 100 mebibits (104,857,600 bits) of data in one second.

Base 10 vs. Base 2

The key distinction lies in the base used for calculation:

  • Base 2 (Mebibits - Mbit): Uses powers of 2, which are standard in computer science and memory addressing.
  • Base 10 (Megabits - Mb): Uses powers of 10, often used in marketing and telecommunications for simpler, larger-sounding numbers.

When dealing with actual data storage or transfer within computer systems, Mebibits (base 2) provide a more accurate representation. For example, a file size reported in mebibytes will be closer to the actual space occupied on a storage device than a size reported in megabytes.

Real-World Examples

  • Internet Speed: Home internet plans are often advertised in megabits per second (Mbps). However, when downloading files, your download manager might show transfer rates in mebibytes per second (MiB/s). For example, a 100 Mbps connection might result in actual download speeds of around 12 MiB/s (since 1 MiB = 8 Mibit).

  • Network Infrastructure: Internal network speeds within data centers or enterprise networks are commonly measured in gigabits per second (Gbps) and terabits per second (Tbps), but it's crucial to understand whether these refer to base-2 or base-10 values for accurate assessment.

  • Solid State Drives (SSDs): SSD transfer speeds are critical for performance. A high-performance NVMe SSD might have read/write speeds exceeding 3000 MB/s (megabytes per second), translating to approximately 23,844 Mbit/s.

  • Streaming Services: Streaming high-definition video requires a certain data transfer rate. A 4K stream might need 25 Mbit/s or higher to avoid buffering issues. Services like Netflix specify bandwidth recommendations.

Significance

The use of mebibits helps to provide an unambiguous and accurate representation of data transfer rates, particularly in technical contexts where precise measurements are critical. Understanding the difference between megabits and mebibits is essential for IT professionals, network engineers, and anyone involved in data storage or transfer.

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