Kibibits per second (Kib/s) to Bytes per second (Byte/s) conversion

Kibibits per second to Bytes per second conversion table

Kibibits per second (Kib/s)Bytes per second (Byte/s)
00
1128
2256
3384
4512
5640
6768
7896
81024
91152
101280
202560
303840
405120
506400
607680
708960
8010240
9011520
10012800
1000128000

How to convert kibibits per second to bytes per second?

Converting Kibibits per second (Kib/s) to Bytes per second (B/s) requires understanding the differences between base 2 (binary) and base 10 (decimal) units. In base 2, "kibi" is a prefix that stands for 1024 (or 2^10), while in base 10, "kilo" stands for 1000.

Base 2 (Binary)

1 Kibibit (Kibit) = 1024 bits (since 1 Kibibit is 2^10 bits).

To convert Kibibits per second to Bytes per second in base 2:

  1. Convert Kibibits to bits: 1 Kib/s = 1024 bits per second.
  2. Convert bits to Bytes: 1 Byte = 8 bits.

So, 1 Kib/s = 1024 bits/s ÷ 8 bits/Byte = 128 Bytes per second (B/s).

Base 10 (Decimal)

If we were talking about Kilobits per second (Kb/s), which is base 10: 1 Kilobit (Kb) = 1000 bits.

To convert Kilobits per second to Bytes per second in base 10:

  1. Convert Kilobits to bits: 1 Kb/s = 1000 bits per second.
  2. Convert bits to Bytes: 1 Byte = 8 bits.

So, 1 Kb/s = 1000 bits/s ÷ 8 bits/Byte = 125 Bytes per second (B/s).

Real-World Examples

Here are some further quantities of Kibibits per second and their conversions:

  1. 10 Kibibits per second (10 Kib/s):

    • Base 2: 10 Kib/s = 10 × 1024 bits/s = 10240 bits/s ÷ 8 bits/Byte = 1280 B/s.
    • Base 10: 10 Kb/s = 10 × 1000 bits/s = 10000 bits/s ÷ 8 bits/Byte = 1250 B/s.
  2. 100 Kibibits per second (100 Kib/s):

    • Base 2: 100 Kib/s = 100 × 1024 bits/s = 102400 bits/s ÷ 8 bits/Byte = 12800 B/s.
    • Base 10: 100 Kb/s = 100 × 1000 bits/s = 100000 bits/s ÷ 8 bits/Byte = 12500 B/s.
  3. 1024 Kibibits per second (1024 Kib/s):

    • Base 2: 1024 Kib/s = 1024 × 1024 bits/s = 1048576 bits/s ÷ 8 bits/Byte = 131072 B/s.
    • Base 10: The closest equivalent in base 10 is 1024 Kb/s = 1024 × 1000 bits/s = 1024000 bits/s ÷ 8 bits/Byte = 128000 B/s.
  4. 1 Mebibit per second (1 Mib/s):

    • 1 Mib/s = 2^20 bits/s = 1048576 bits/s ÷ 8 bits/Byte = 131072 B/s.
    • Note: This is inherently in base 2. The closest base 10 comparison would be 1 Megabit per second (1 Mb/s) = 1000000 bits/s ÷ 8 bits/Byte = 125000 B/s.

Summary

  • 1 Kibibit per second (Kib/s) in base 2 equals 128 Bytes per second (B/s).
  • 1 Kilobit per second (Kb/s) in base 10 equals 125 Bytes per second (B/s).

Different prefixes and contexts (like "kibi-" in base 2 and "kilo-" in base 10) can affect these conversions, so knowing the specific use case is important.

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 Bytes per second to other unit conversions.

What is kibibits per second?

Kibibits per second (Kibit/s) is a unit used to measure data transfer rates or network speeds. It's essential to understand its relationship to other units, especially bits per second (bit/s) and its decimal counterpart, kilobits per second (kbit/s).

Understanding Kibibits per Second (Kibit/s)

A kibibit per second (Kibit/s) represents 1024 bits transferred in one second. The "kibi" prefix denotes a binary multiple, as opposed to the decimal "kilo" prefix. This distinction is crucial in computing where binary (base-2) is fundamental.

Formation and Relationship to Other Units

The term "kibibit" was introduced to address the ambiguity of the "kilo" prefix, which traditionally means 1000 in the decimal system but often was used to mean 1024 in computer science. To avoid confusion, the International Electrotechnical Commission (IEC) standardized the binary prefixes:

  • Kibi (Ki) for 210=10242^{10} = 1024
  • Mebi (Mi) for 220=1,048,5762^{20} = 1,048,576
  • Gibi (Gi) for 230=1,073,741,8242^{30} = 1,073,741,824

Therefore:

  • 1 Kibit/s = 1024 bits/s
  • 1 kbit/s = 1000 bits/s

Base 2 vs. Base 10

The difference between kibibits (base-2) and kilobits (base-10) is significant.

  • Base-2 (Kibibit): 1 Kibit/s = 2102^{10} bits/s = 1024 bits/s
  • Base-10 (Kilobit): 1 kbit/s = 10310^{3} bits/s = 1000 bits/s

This difference can lead to confusion, especially when dealing with storage capacity or data transfer rates advertised by manufacturers.

Real-World Examples

Here are some examples of data transfer rates in Kibit/s:

  • Basic Broadband Speed: Older DSL connections might offer speeds around 512 Kibit/s to 2048 Kibit/s (0.5 to 2 Mbit/s).
  • Early File Sharing: Early peer-to-peer file-sharing networks often had upload speeds in the range of tens to hundreds of Kibit/s.
  • Embedded Systems: Some embedded systems or low-power devices might communicate at rates of a few Kibit/s to conserve energy.

It's more common to see faster internet speeds measured in Mibit/s (Mebibits per second) or even Gibit/s (Gibibits per second) today. To convert to those units:

  • 1 Mibit/s = 1024 Kibit/s
  • 1 Gibit/s = 1024 Mibit/s = 1,048,576 Kibit/s

Historical Context

While no single person is directly associated with the 'kibibit,' the need for such a unit arose from the ambiguity surrounding the term 'kilobit' in the context of computing. The push to define and standardize binary prefixes came from the IEC in the late 1990s to resolve the base-2 vs. base-10 confusion.

What is Bytes per second?

Bytes per second (B/s) is a unit of data transfer rate, measuring the amount of digital information moved per second. It's commonly used to quantify network speeds, storage device performance, and other data transmission rates. Understanding B/s is crucial for evaluating the efficiency of data transfer operations.

Understanding Bytes per Second

Bytes per second represents the number of bytes transferred in one second. It's a fundamental unit that can be scaled up to kilobytes per second (KB/s), megabytes per second (MB/s), gigabytes per second (GB/s), and beyond, depending on the magnitude of the data transfer rate.

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

It's essential to differentiate between base 10 (decimal) and base 2 (binary) interpretations of these units:

  • Base 10 (Decimal): Uses powers of 10. For example, 1 KB is 1000 bytes, 1 MB is 1,000,000 bytes, and so on. These are often used in marketing materials by storage companies and internet providers, as the numbers appear larger.
  • Base 2 (Binary): Uses powers of 2. For example, 1 KiB (kibibyte) is 1024 bytes, 1 MiB (mebibyte) is 1,048,576 bytes, and so on. These are more accurate when describing actual data storage capacities and calculations within computer systems.

Here's a table summarizing the differences:

Unit Base 10 (Decimal) Base 2 (Binary)
Kilobyte 1,000 bytes 1,024 bytes
Megabyte 1,000,000 bytes 1,048,576 bytes
Gigabyte 1,000,000,000 bytes 1,073,741,824 bytes

Using the correct prefixes (Kilo, Mega, Giga vs. Kibi, Mebi, Gibi) avoids confusion.

Formula

Bytes per second is calculated by dividing the amount of data transferred (in bytes) by the time it took to transfer that data (in seconds).

Bytes per second (B/s)=Number of bytesNumber of seconds\text{Bytes per second (B/s)} = \frac{\text{Number of bytes}}{\text{Number of seconds}}

Real-World Examples

  • Dial-up Modem: A dial-up modem might have a maximum transfer rate of around 56 kilobits per second (kbps). Since 1 byte is 8 bits, this equates to approximately 7 KB/s.

  • Broadband Internet: A typical broadband internet connection might offer download speeds of 50 Mbps (megabits per second). This translates to approximately 6.25 MB/s (megabytes per second).

  • SSD (Solid State Drive): A modern SSD can have read/write speeds of up to 500 MB/s or more. High-performance NVMe SSDs can reach speeds of several gigabytes per second (GB/s).

  • Network Transfer: Transferring a 1 GB file over a network with a 100 Mbps connection (approximately 12.5 MB/s) would ideally take around 80 seconds (1024 MB / 12.5 MB/s ≈ 81.92 seconds).

Interesting Facts

  • Nyquist–Shannon sampling theorem Even though it is not about "bytes per second" unit of measure, it is very related to the concept of "per second" unit of measure for signals. It states that the data rate of a digital signal must be at least twice the highest frequency component of the analog signal it represents to accurately reconstruct the original signal. This theorem underscores the importance of having sufficient data transfer rates to faithfully transmit information. For more information, see Nyquist–Shannon sampling theorem in wikipedia.

Complete Kibibits per second conversion table

Enter # of Kibibits per second
Convert 1 Kib/s to other unitsResult
Kibibits per second to bits per second (Kib/s to bit/s)1024
Kibibits per second to Kilobits per second (Kib/s to Kb/s)1.024
Kibibits per second to Megabits per second (Kib/s to Mb/s)0.001024
Kibibits per second to Mebibits per second (Kib/s to Mib/s)0.0009765625
Kibibits per second to Gigabits per second (Kib/s to Gb/s)0.000001024
Kibibits per second to Gibibits per second (Kib/s to Gib/s)9.5367431640625e-7
Kibibits per second to Terabits per second (Kib/s to Tb/s)1.024e-9
Kibibits per second to Tebibits per second (Kib/s to Tib/s)9.3132257461548e-10
Kibibits per second to bits per minute (Kib/s to bit/minute)61440
Kibibits per second to Kilobits per minute (Kib/s to Kb/minute)61.44
Kibibits per second to Kibibits per minute (Kib/s to Kib/minute)60
Kibibits per second to Megabits per minute (Kib/s to Mb/minute)0.06144
Kibibits per second to Mebibits per minute (Kib/s to Mib/minute)0.05859375
Kibibits per second to Gigabits per minute (Kib/s to Gb/minute)0.00006144
Kibibits per second to Gibibits per minute (Kib/s to Gib/minute)0.00005722045898438
Kibibits per second to Terabits per minute (Kib/s to Tb/minute)6.144e-8
Kibibits per second to Tebibits per minute (Kib/s to Tib/minute)5.5879354476929e-8
Kibibits per second to bits per hour (Kib/s to bit/hour)3686400
Kibibits per second to Kilobits per hour (Kib/s to Kb/hour)3686.4
Kibibits per second to Kibibits per hour (Kib/s to Kib/hour)3600
Kibibits per second to Megabits per hour (Kib/s to Mb/hour)3.6864
Kibibits per second to Mebibits per hour (Kib/s to Mib/hour)3.515625
Kibibits per second to Gigabits per hour (Kib/s to Gb/hour)0.0036864
Kibibits per second to Gibibits per hour (Kib/s to Gib/hour)0.003433227539063
Kibibits per second to Terabits per hour (Kib/s to Tb/hour)0.0000036864
Kibibits per second to Tebibits per hour (Kib/s to Tib/hour)0.000003352761268616
Kibibits per second to bits per day (Kib/s to bit/day)88473600
Kibibits per second to Kilobits per day (Kib/s to Kb/day)88473.6
Kibibits per second to Kibibits per day (Kib/s to Kib/day)86400
Kibibits per second to Megabits per day (Kib/s to Mb/day)88.4736
Kibibits per second to Mebibits per day (Kib/s to Mib/day)84.375
Kibibits per second to Gigabits per day (Kib/s to Gb/day)0.0884736
Kibibits per second to Gibibits per day (Kib/s to Gib/day)0.0823974609375
Kibibits per second to Terabits per day (Kib/s to Tb/day)0.0000884736
Kibibits per second to Tebibits per day (Kib/s to Tib/day)0.00008046627044678
Kibibits per second to bits per month (Kib/s to bit/month)2654208000
Kibibits per second to Kilobits per month (Kib/s to Kb/month)2654208
Kibibits per second to Kibibits per month (Kib/s to Kib/month)2592000
Kibibits per second to Megabits per month (Kib/s to Mb/month)2654.208
Kibibits per second to Mebibits per month (Kib/s to Mib/month)2531.25
Kibibits per second to Gigabits per month (Kib/s to Gb/month)2.654208
Kibibits per second to Gibibits per month (Kib/s to Gib/month)2.471923828125
Kibibits per second to Terabits per month (Kib/s to Tb/month)0.002654208
Kibibits per second to Tebibits per month (Kib/s to Tib/month)0.002413988113403
Kibibits per second to Bytes per second (Kib/s to Byte/s)128
Kibibits per second to Kilobytes per second (Kib/s to KB/s)0.128
Kibibits per second to Kibibytes per second (Kib/s to KiB/s)0.125
Kibibits per second to Megabytes per second (Kib/s to MB/s)0.000128
Kibibits per second to Mebibytes per second (Kib/s to MiB/s)0.0001220703125
Kibibits per second to Gigabytes per second (Kib/s to GB/s)1.28e-7
Kibibits per second to Gibibytes per second (Kib/s to GiB/s)1.1920928955078e-7
Kibibits per second to Terabytes per second (Kib/s to TB/s)1.28e-10
Kibibits per second to Tebibytes per second (Kib/s to TiB/s)1.1641532182693e-10
Kibibits per second to Bytes per minute (Kib/s to Byte/minute)7680
Kibibits per second to Kilobytes per minute (Kib/s to KB/minute)7.68
Kibibits per second to Kibibytes per minute (Kib/s to KiB/minute)7.5
Kibibits per second to Megabytes per minute (Kib/s to MB/minute)0.00768
Kibibits per second to Mebibytes per minute (Kib/s to MiB/minute)0.00732421875
Kibibits per second to Gigabytes per minute (Kib/s to GB/minute)0.00000768
Kibibits per second to Gibibytes per minute (Kib/s to GiB/minute)0.000007152557373047
Kibibits per second to Terabytes per minute (Kib/s to TB/minute)7.68e-9
Kibibits per second to Tebibytes per minute (Kib/s to TiB/minute)6.9849193096161e-9
Kibibits per second to Bytes per hour (Kib/s to Byte/hour)460800
Kibibits per second to Kilobytes per hour (Kib/s to KB/hour)460.8
Kibibits per second to Kibibytes per hour (Kib/s to KiB/hour)450
Kibibits per second to Megabytes per hour (Kib/s to MB/hour)0.4608
Kibibits per second to Mebibytes per hour (Kib/s to MiB/hour)0.439453125
Kibibits per second to Gigabytes per hour (Kib/s to GB/hour)0.0004608
Kibibits per second to Gibibytes per hour (Kib/s to GiB/hour)0.0004291534423828
Kibibits per second to Terabytes per hour (Kib/s to TB/hour)4.608e-7
Kibibits per second to Tebibytes per hour (Kib/s to TiB/hour)4.1909515857697e-7
Kibibits per second to Bytes per day (Kib/s to Byte/day)11059200
Kibibits per second to Kilobytes per day (Kib/s to KB/day)11059.2
Kibibits per second to Kibibytes per day (Kib/s to KiB/day)10800
Kibibits per second to Megabytes per day (Kib/s to MB/day)11.0592
Kibibits per second to Mebibytes per day (Kib/s to MiB/day)10.546875
Kibibits per second to Gigabytes per day (Kib/s to GB/day)0.0110592
Kibibits per second to Gibibytes per day (Kib/s to GiB/day)0.01029968261719
Kibibits per second to Terabytes per day (Kib/s to TB/day)0.0000110592
Kibibits per second to Tebibytes per day (Kib/s to TiB/day)0.00001005828380585
Kibibits per second to Bytes per month (Kib/s to Byte/month)331776000
Kibibits per second to Kilobytes per month (Kib/s to KB/month)331776
Kibibits per second to Kibibytes per month (Kib/s to KiB/month)324000
Kibibits per second to Megabytes per month (Kib/s to MB/month)331.776
Kibibits per second to Mebibytes per month (Kib/s to MiB/month)316.40625
Kibibits per second to Gigabytes per month (Kib/s to GB/month)0.331776
Kibibits per second to Gibibytes per month (Kib/s to GiB/month)0.3089904785156
Kibibits per second to Terabytes per month (Kib/s to TB/month)0.000331776
Kibibits per second to Tebibytes per month (Kib/s to TiB/month)0.0003017485141754

Data transfer rate conversions