HAMMING DISTANCE

  

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HAMMING DISTANCE

Specialty Definition: HAMMING DISTANCE

DomainDefinition

Computing

Hamming distance The minimum number of bits that must be changed in order to convert one bit string into another. [Any connection with Hamming code?]. (1999-11-21). Source: The Free On-line Dictionary of Computing.

Math

The number of bits which differ between two binary strings. More formally, the distance between two strings A and B is | Ai - Bi |. (references)

Source: compiled by the editor from various references; see credits.

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Specialty Definition: Hamming distance

(From Wikipedia, the free Encyclopedia)

In telecommunication, the Hamming distance or signal distance is the number of digit positions in which the corresponding digits of two binary words of the same length are different.

It corresponds to the weight (number of ones) in the XOR of the words, or to the Manhattan distance between two vertices in an n-dimensional hypercube (where n is the length of the words).

For instance, the Hamming distance between 1011101 and 1001001 is two.

The concept can be generalized to other notation systems. For example, the Hamming distance between 2143896 and 2233796 is three, and between "toned" and "roses" it is also three.

Source: from Federal Standard 1037C

Source: adapted by the editor from Wikipedia, the free encyclopedia under a copyleft GNU Free Documentation License (GFDL) from the article "Hamming distance."

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Crosswords: HAMMING DISTANCE

Specialty definitions using "HAMMING DISTANCE": gray codeHamming distance. (references)

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Anagrams: HAMMING DISTANCE

Scrabble® Enable2K-Verified Anagrams

Words within the letters "a-a-c-d-e-g-h-i-i-m-m-n-n-s-t"

-3 letters: diamagnetism.

-4 letters: damascening, deaminating, diamagnetic, gentamicins, machinating, mastheading, mismatching, misteaching.

-5 letters: anamnestic, chastening, decimating, descanting, destaining, discanting, disenchant, distancing, emaciating, gentamicin, hematinics, machinated, machinates, maintained, manganites, mediastina, medicating, mendicants, mismanaged, mismatched, mistending, thiaminase.

Source: compiled by the editor from various references; see credits.

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Alternative Orthography: HAMMING DISTANCE


Hexadecimal (or equivalents, 770AD-1900s) (references)

48 41 4D 4D 49 4E 47      44 49 53 54 41 4E 43 45

Leonardo da Vinci (1452-1519; backwards) (references)

    

Binary Code (1918-1938, probably earlier) (references)

01001000 01000001 01001101 01001101 01001001 01001110 01000111 00100000 01000100 01001001 01010011 01010100 01000001 01001110 01000011 01000101

HTML Code (1990) (references)

&#72 &#65 &#77 &#77 &#73 &#78 &#71 &#32 &#68 &#73 &#83 &#84 &#65 &#78 &#67 &#69

ISO 10646 (1991-1993) (references)

0048 0041 004D 004D 0049 004E 0047      0044 0049 0053 0054 0041 004E 0043 0045

Encryption (beginner's substitution cypher): (references)

4235474743484123843535435483739

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INDEX

1. Crosswords
2. Anagrams
3. Orthography
4. Bibliography


  

Copyright © Philip M. Parker, INSEAD. Terms of Use.