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The first few steps of the reflect-and-prefix method. 4-bit Gray code permutation. The binary-reflected Gray code list for n bits can be generated recursively from the list for n − 1 bits by reflecting the list (i.e. listing the entries in reverse order), prefixing the entries in the original list with a binary 0, prefixing the entries in the ...
To construct the binary-reflected Gray code iteratively, start with the code 0, and at step i find the bit position of the least significant '1' in the binary representation of i - flip the bit at that position in the previous code to get the next code. The bit positions start 0, 1, 0, 2, 0, 1, 0, 3, ...
EBCDIC [nb 11] systems use a zone value of 1111 2 (F 16), yielding F0 16-F9 16, the codes for "0" through "9", a zone value of 1100 2 (C 16) for positive, yielding C0 16-C9 16, the codes for "{" through "I" and a zone value of 1110 2 (D 16) for negative, yielding D0 16-D9 16, the codes for the characters "}" through "R". Similarly, ASCII ...
Frank Gray (13 September 1887 – 23 May 1969) was a physicist and researcher at Bell Labs who made numerous innovations in television, both mechanical and electronic, and is remembered for the Gray code. The Gray code, or reflected binary code (RBC), appearing in Gray's 1953 patent, [1] is a binary numeral system often used in electronics, but ...
The binary code assigns a pattern of binary digits, also known as bits, to each character, instruction, etc. For example, a binary string of eight bits (which is also called a byte) can represent any of 256 possible values and can, therefore, represent a wide variety of different items. In computing and telecommunications, binary codes are used ...
The Aiken code (also known as 2421 code) [1] [2] is a complementary binary-coded decimal (BCD) code. A group of four bits is assigned to the decimal digits from 0 to 9 according to the following table. The code was developed by Howard Hathaway Aiken and is still used today in digital clocks, pocket calculators and similar devices [citation needed].
Code de Gray; Usage on fr.wikibooks.org Fonctionnement d'un ordinateur/Le codage des nombres; Fonctionnement d'un ordinateur/Version imprimable 2; Usage on hu.wikipedia.org Gray-kód; Usage on sr.wikipedia.org Грејев код; Usage on zh.wikipedia.org 格雷码; 九連環
A special case of constant weight codes are the one-of-N codes, that encode bits in a code-word of bits. The one-of-two code uses the code words 01 and 10 to encode the bits '0' and '1'. A one-of-four code can use the words 0001, 0010, 0100, 1000 in order to encode two bits 00, 01, 10, and 11.