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By F.Lagnier,F.Maraninchi, P.Amblard,J.-C.Fernandez, P.Sicard,Ph.Waille

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Extra info for Architectures Logicielles Et Mat Rielles

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Les d´efinitions et les propri´et´es math´ematiques restent identiques. Ces termes sont utilis´es aussi dans l’´etude des circuits logiques. ), d’union ensembliste (correspondant `a +) et de compl´ementaire ensembliste dans E (correspondant `a ¯) forme une alg`ebre de Boole. L’ensemble vide correspond `a 0 et l’ensemble E `a 1. L’ensemble des nuplets de bool´eens muni des op´erations d’addition, de multiplication et de compl´ementation ´etendues aux vecteurs forme une alg`ebre de Boole. (0, 0, .

Donner des expressions bool´eennes des fonctions simples p2 , p1 et p0 qui correspondent au codage en base 2 du poids d’un vecteur de 4 variables bool´eennes x1 , x2 , x3 , x4 . 5. Exercices 47 a f g e b c d Fig. d¯ . ¯ e. 18 : Afficheur 7 segments Soit un afficheur `a cristaux liquides comportant 7 segments, comme il y en a sur la plupart des calculettes. On veut r´ealiser les 7 fonctions bool´eennes (a, b, c, d, e, f , g) `a 4 variables (e4 , e3 , e2 , e1 ) qui correspondent aux 7 segments (Cf.

4. Manipulation de repr´ esentations de fonctions bool´ eennes Un circuit est en g´en´eral sp´ecifi´e par une fonction bool´eenne. Nous verrons dans le chapitre 8 comment peut ˆetre r´ealis´e le processus de synth`ese d’une fonction bool´eenne vers une technologie cible. Selon les outils, la forme de d´epart de la fonction dans ce processus influe ´enorm´ement sur la forme du circuit r´esultant et en particulier sur ses performances en terme de rapidit´e de calcul, surface en millim`etres carr´es, consommation ´electrique, etc.

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