Units of information are a way of measuring a quantity of information or an entropy.
Primary units
Comparison of units of information: bit, trit, nat, ban. Quantity of informations is the height of bars. Dark green level is the "Nat" unit.
Small amount of information just as logarithm of number of states. According to Shannon, The choice of a logarithmic base corresponds to the choice of a unit for measuring information.
The minimal integer, whose logarithm is positive, is 2. The unit, corresponding to it is bit. Bit is the base of information measurement in modern information technologies. The unit, corresponding to the number 3 is trit, which is equal to bit. The unit, corresponding to the number 10: ban = bit.
Since the base of natural logarithm is not an integer, such unit as Nat is usually not applied to digital information, but is well known in theory.
Units derived from bit
There have been some attempts to construct unambiguous terms for bit blocks of some sizes.[1] Terms in italic are strictly jargon, not serve as units (in the proper sense) and not very common.
- 2 bits: crumb, quad, quarter, tayste, tydbit
- 4 bits: nibble, nybble, sometimes "half-byte"
- 5 bits: nickel, nyckle
- 8 bits: byte, octet
- 10 bits: deckle
- 16 bits: plate, playte, chomp, chawmp (on a 32-bit machine)
- 18 bits: chomp, chawmp (on a 36-bit machine)
- 32 bits: dinner, dynner, gawble (on a 32-bit machine)
- 48 bits: gobble, gawble (under circumstances that remain obscure)
The following therms allows precise meaning on bits quantities:
- 1 bit is binary digit
- 8 bits: byte or octet, 1B(yte) = 8b(its)
- 16 bits: doublet
- 32 bits: quadlet
- 64 bits: octlet
Byte
| Prefixes for bit and byte |
|
|
| Binary |
| Value |
IEC |
JEDEC |
| 10241 |
Ki |
kibi- |
K |
kilo- |
| 10242 |
Mi |
mebi- |
M |
mega- |
| 10243 |
Gi |
gibi- |
G |
giga- |
| 10244 |
Ti |
tebi- |
|
|
| 10245 |
Pi |
pebi- |
|
|
| 10246 |
Ei |
exbi- |
|
|
| 10247 |
Zi |
zebi- |
|
|
| 10248 |
Yi |
yobi- |
|
|
|
-
Large amounts of information are almost always counted in bytes rather than bits, and it is generally used as an atomic unit when addressing memory. See below a clarification of the term byte.
Kilobyte
Whether used to denote 1024 bytes (a kibibyte, or KiB), or more correctly, 1000 bytes (kB), this is a convenient order of magnitude to express:
Megabyte
Units megabyte MB = 1000000 bytes and mebibyte MiB = 1024 KiB = 1048576 bytes.
Electronic memory is commonly measured in mebibytes, but hard disks are (or were) measured mainly in megabytes.
Gigabyte
Units gigabyte GB = 109 bytes and gibibyte GiB = 1024 MiB = 230 bytes.
Terminology
What is "byte"?
-
The word "byte" has two closely related meanings:
- A contiguous sequence of a fixed number of bits (binary digits).
- A contiguous sequence of bits within a binary computer that comprises the smallest addressable sub-field of the computer's natural word-size.
In modern computing, the use of a byte to mean 8 bits has become nearly ubiquitous in both senses. The term octet is used in very strict speech (such as RFCs) to avoid any ambiguity.
SI vs. Binary prefixes
-
Main article: Binary prefix
The prefixes historically used for byte measurements are usually the same as the SI prefixes used for other measurements, but have slightly different values. The former are based on powers of 1,024 (210), a convenient binary number, while the SI prefixes are based on powers of 1,000 (103), a convenient decimal number. The table below illustrates these differences.
| Prefix |
Name |
SI Meaning |
Binary meaning |
Size difference |
| k |
kilo |
103 = 10001 |
210 = 10241 |
2.40% |
| M |
mega |
106 = 10002 |
220 = 10242 |
4.86% |
| G |
giga |
109 = 10003 |
230 = 10243 |
7.37% |
| T |
tera |
1012 = 10004 |
240 = 10244 |
9.95% |
| P |
peta |
1015 = 10005 |
250 = 10245 |
12.59% |
| E |
exa |
1018 = 10006 |
260 = 10246 |
15.29% |
| Z |
zetta |
1021 = 10007 |
270 = 10247 |
18.67% |
Sometimes "K" is used instead of "k". The use of "K" as a prefix has no meanings for the SI.
In 1998, the IEC, then the IEEE, published a new standard describing binary prefixes:
| Prefix |
Name |
| kibi |
binary kilo |
1 kibibyte (KiB) |
210 bytes |
1024 B |
| mebi |
binary mega |
1 mebibyte (MiB) |
220 bytes |
1024 KiB |
| gibi |
binary giga |
1 gibibyte (GiB) |
230 bytes |
1024 MiB |
| tebi |
binary tera |
1 tebibyte (TiB) |
240 bytes |
1024 GiB |
| pebi |
binary peta |
1 pebibyte (PiB) |
250 bytes |
1024 TiB |
| exbi |
binary exa |
1 exbibyte (EiB) |
260 bytes |
1024 PiB |
References
- ^ nybble reference.com sourced from Jargon File 4.2.0, accessed 2007-08-12
- ^ nybble reference.com sourced from Jargon File 4.2.0, accessed 2007-08-12
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