Kilobit per second

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Bit rates
Decimal prefixes (SI)
Name Symbol Multiple
kilobit per second kbit/s 103
megabit per second Mbit/s 106
gigabit per second Gbit/s 109
terabit per second Tbit/s 1012
Binary prefixes
(IEC 60027-2)
kibibit per second Kibit/s 210
mebibit per second Mibit/s 220
gibibit per second Gibit/s 230
tebibit per second Tibit/s 240

A kilobit per second (kbit/s or kb/s or kbps) is a unit of data transfer rate equal to 1,000 bits per second. It is sometimes mistakenly thought to mean 1,024 bits per second, using the binary meaning of the kilo- prefix, though this is incorrect.[citation needed]

Contents

Most digital representations of audio are measured in kbit/s:

(These values vary depending on audio data compression schemes)

  • 4 kbit/s – minimum achieved for encoding recognizable speech (using special-purpose speech codecs)
  • 8 kbit/s – telephone quality
  • 32 kbit/s – MW quality
  • 96 kbit/s – FM quality
  • 192 kbit/s – Nearly CD quality for a file compressed in the MP3 format
  • 1,411 kbit/s – CD audio (uncompressed, 16 bit samples × 44.1 kHz × 2 channels)

'k' and 'Ki' stand for 'kilo' and kibi respectively. They are prefixes to units where 'k' stands for 1,000 and 'Ki' stands for 1,024, because 'Ki' comes from its use in computing where 210 = 1,024. Unfortunately, 'K' is often incorrectly used instead of 'Ki'. Furthermore, the broad public not being necessarily aware of this subtle difference, usually uses 'Kbps' and 'kbps' indiscriminately, creating confusion. Whenever 'Kibps' is used, it is usually accurate.

'b' stands for 'bit' and 'B' stands for 'byte', where one byte refers to 8 bits. This can lead to confusion, as when a "1 Mega" connection is advertised, it is in megabits, meaning the maximum achievable download speed is actually about 122 kibibytes per second.

If the data rate of a data-stream 8,192 bits per second, then using the different capitalisations of letters this would be as follows:

8192 / 1000 = 8.192 kbps
8192 / 1024 = 8 Kbps
8192 / (8 x 1024) = 1 KBps
8192 / (8 x 1000) = 1.024 kBps
8192 / 8 = 1024 Bps

Bytes are typically used in modern systems, but even when 8-bit bytes are used, the number of kbyte/s is not necessarily exactly one eighth the number of kbit/s because the count of bytes might not include framing bits. For example, a 56 kbit/s RS-232 serial line transfers only 5.6 kbyte/s — not 7 kbyte/s — when used in the most common configuration (asynchronous, 8 data bits, no parity, one stop bit). It is fairly common to use kbyte/s with the binary meaning (1,024 byte/s) — more so than for kbit/s — perhaps because of the close relationship with the common binary usage of kilobyte for measuring file sizes.

Another related unit is the kibibit per second:

103 = 1,000 bit/s = 1 kbit/s (one kilobit or one thousand bits per second)
210 = 1,024 bit/s = 1 Kibit/s (one kibibit per second)

kbps is also commonly used for describing bit rates for streaming data such as video.

To convert between common denotations, the following formula are used.

kbps → KBps ((n * 1000) / 8) / 1024 = m
kbps → MBpm ((((n * 1000) / 8) / 1024) / 1024) * 60 = m
kbps → MBph (((((n * 1000) / 8) / 1024) / 1024) * 60) * 60 = m

The following table shows how much data would theoretically be downloaded when running such a stream in more common denotations.

kbps 50.00 150.00 139.81
KBps 6.10 18.31 17.07
MBpm 0.36 1.07 1.00
MBph 21.46 64.37 60.00


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