Nibble

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File:Octets in CP866 ordered by nibbles.png
An octet code page 866 font table ordered by nibbles.

In computing, a nibble,[1] or spelled nybble to match byte, is a unit of information that is an aggregation of four-bits; half of a byte/octet.[1][2][3] The unit is alternatively called nyble, nybl, half-byte[4] or tetrade.[5][6] In networking or telecommunications, the unit is often called a semi-octet,[7] quadbit,[8] or quartet.[9][10]

As a nibble can represent sixteen (24Script error: No such module "Check for unknown parameters".) possible values, a nibble value is often shown as a hexadecimal digit (hex digit).[11] A byte is two nibbles, and therefore, a value can be shown as two hex digits.

Four-bit computers use nibble-sized data for storage and operations; as the word unit. Such computers were used in early microprocessors, pocket calculators and pocket computers. They continue to be used in some microcontrollers. In this context, 4-bit groups were sometimes also called characters[12] rather than nibbles.[1]

History

The term nibble originates from its representing "half a byte", with byte a homophone of the English word bite.[4] In 2014, David B. Benson, a professor emeritus at Washington State University, remembered that he playfully used (and may have possibly coined) the term nibble as "half a byte" and unit of storage required to hold a binary-coded decimal (BCD) digit around 1958, when talking to a programmer from Los Alamos Scientific Laboratory. The alternative spelling nybble reflects the spelling of byte, as noted in editorials of Kilobaud and Byte in the early 1980s. Another early recorded use of the term nybble was in 1977 within the consumer-banking technology group at Citibank. It created a pre-ISO 8583 standard for transactional messages between cash machines and Citibank's data centers that used the basic data unit 'nabble'.

Nibble is used to describe the amount of memory used to store a digit of a number stored in packed decimal format (BCD) within an IBM mainframe. This technique is used to make computations faster and debugging easier. An 8-bit byte is split in half and each nibble is used to store one decimal digit. The last (rightmost) nibble of the variable is reserved for the sign. Thus a variable which can store up to nine digits would be "packed" into 5 bytes. Ease of debugging resulted from the numbers' being readable in a hex dump where two hex numbers are used to represent the value of a byte, as 16×16 = 28Script error: No such module "Check for unknown parameters".. For example, a five-byte BCD value of 31 41 59 26 5C represents a decimal value of +314159265.

Historically, there are cases where nybble was used for a group of bits greater than 4. On the Apple II, much of the disk drive control and group-coded recording was implemented in software. Writing data to a disk was done by converting 256-byte pages into sets of 5-bit (later, 6-bit) nibbles and loading disk data required the reverse.[13][14][15] Moreover, 1982 documentation for the Integrated Woz Machine refers consistently to an "8 bit nibble".[16] The term byte once had the same ambiguity and meant a set of bits but not necessarily 8, hence the distinction of bytes and octets or of nibbles and quartets (or quadbits). Today, the terms byte and nibble almost always refer to 8-bit and 4-bit collections respectively and are very rarely used to express any other sizes.

Value representation

A nibble-sized value can be represented in different numeric bases:

Binary Decimal Hexadecimal
<templatestyles src="Mono/styles.css" />0000 0 0
<templatestyles src="Mono/styles.css" />0001 1 1
<templatestyles src="Mono/styles.css" />0010 2 2
<templatestyles src="Mono/styles.css" />0011 3 3
<templatestyles src="Mono/styles.css" />0100 4 4
<templatestyles src="Mono/styles.css" />0101 5 5
<templatestyles src="Mono/styles.css" />0110 6 6
<templatestyles src="Mono/styles.css" />0111 7 7
<templatestyles src="Mono/styles.css" />1000 8 8
<templatestyles src="Mono/styles.css" />1001 9 9
<templatestyles src="Mono/styles.css" />1010 10 A
<templatestyles src="Mono/styles.css" />1011 11 B
<templatestyles src="Mono/styles.css" />1100 12 C
<templatestyles src="Mono/styles.css" />1101 13 D
<templatestyles src="Mono/styles.css" />1110 14 E
<templatestyles src="Mono/styles.css" />1111 15 F

Low and high nibbles

The low and high nibbles of a byte are its two halves that are the less and the more significant bits within the byte, respectively. In a graphical representation of bits within a byte, the leftmost bit could represent the most significant bit (MSB), corresponding to ordinary decimal notation in which the digit at the left of a number is the most significant. In such an illustration, the four bits on the left end of the byte form the high nibble, and the remaining four bits form the low nibble.[17] For example,

ninety-seven = 9710 = (0110 0001)2 = 6116Script error: No such module "Check for unknown parameters".

the high nibble is 01102Script error: No such module "Check for unknown parameters". (616Script error: No such module "Check for unknown parameters".), and the low nibble is 00012Script error: No such module "Check for unknown parameters". (116Script error: No such module "Check for unknown parameters".). The total value is high-nibble × 1610 + low-nibbleScript error: No such module "Check for unknown parameters". (6 × 16 + 1 = 9710Script error: No such module "Check for unknown parameters".).

See also

References

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  10. Script error: No such module "citation/CS1". [1] [2] [3] [4] [5] [6]
  11. Script error: No such module "citation/CS1".
  12. Script error: No such module "citation/CS1". (NB. This Intel 4004 manual uses the term character referring to 4-bit rather than 8-bit data entities. Intel switched to use the more common term nibble for 4-bit entities in their documentation for the succeeding processor 4040 in 1974 already.)
  13. Script error: No such module "citation/CS1". [7] [8] [9] Template:Webarchive
  14. Script error: No such module "citation/CS1". [10]
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External links

  • Script error: No such module "citation/CS1".

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