Miklošič Library FPNM, Maribor (PEFMB)
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Kombinatorične Grayeve kode : diplomsko deloVidner, MajaVeliko naprav v elektromehaniki uporablja sistem prikazovanja pozicij z odpiranjem in zapiranjem stikal. Če ta naprava uporablja binarno kodo, so možnosti za napačno branje pozicije bitov in ... posledično napačen izhod podatka, velike. Ker se binarne besede med seboj razlikujejo za več kot en bit in ker se stikala v napravah ne premikajo sinhrono, bi morale biti spremembe bitov med besedami čim manjše. Tukaj nastopi uporaba Grayeve kode, katere značilnost je sprememba samo enega bita med bitnimi besedami. V prvem delu diplomskega dela je predstavljen binarni številčni sistem, ki je osnova za razvoj in gradnjo Grayevih kod. Nadalje je opisana povezava in pretvarjanje med binarno in Grayevo kodo. V drugem delu je predstavljena definicija Grayevih kod in generiranje le-teh z rekurzivnim algoritmom, znanim pod imenom binarna reflektirana Grayeva koda. Opisani sta tudi uravnotežena in monotona Grayeva koda, ki predstavljata posebni različici Grayevih kod. Nadalje so predstavljene kombinatorične Grayeve kode za permutacije, kombinacije in particije celih števil. Opisana je tudi bijekcija med nizom particij in funkcijo omejene rasti. V zadnjem delu so predstavljeni praktični primeri, ki so lahko rešeni s pomočjo uporabe različnih Grayevih kod.Type of material - undergraduate thesis ; adult, seriousPublication and manufacture - Maribor : [M. Vidner], 2011Language - slovenianCOBISS.SI-ID - 18845960
Author
Vidner, Maja
Other authors
Kovše, Matjaž
Topics
Univerzitetna in visokošolska dela |
matematika |
kombinatorika |
Grayeve kode |
binarne kode |
bitna beseda |
diplomska dela
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M DIPL 0000000051 VIDNER M. Kombinato IN: 920110137 M DIPL 51 VIDNER M. Kombinato IN: 920110137 |
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Vidner, Maja | ![]() |
Kovše, Matjaž | 25571 |
Source: Personal bibliographies
and: SICRIS
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