Download e-book for kindle: Architecture de l'ordinateur : Portes logiques, circuits by Robert Strandh, Irène Durand

By Robert Strandh, Irène Durand

ISBN-10: 2100492144

ISBN-13: 9782100492145

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Extra resources for Architecture de l'ordinateur : Portes logiques, circuits combinatoires, arithmétique binaire, circuits séquentiels et mémoires, exemple d'architecture

Example text

Afin d’obtenir une représentation canonique, la mantisse doit être divisée par 2 (décalée à droite) et l’exposant doit être incrémenté. La division est similaire. 6 La norme IEEE-754 49 L’imprécision du résultat d’une multiplication ou d’une division est due uniquement à l’imprécision des deux opérandes. Aucune erreur supplémentaire n’est introduite par l’opération elle-même (sauf peut-être d’une demi-unité dans le chiffre le moins significatif). Les opérations d’addition et de soustraction n’ont pas cette caractéristique.

Les circuits obtenus avec un tel critère ne sont pas forcément les mêmes que ceux obtenus en minimisant le nombre de total de portes logiques. 4 RÉCAPITULATIF Une expression logique peut parfaitement décrire le fonctionnement d’un circuit combinatoire. En utilisant la structure de l’expression, il est même possible de déduire la structure du circuit correspondant, mais cela donne souvent un circuit non optimal. Une expression est moins pratique pour établir la spécification d’un circuit à réaliser, car incapable d’exprimer des combinaisons d’entrées sans importance.

On remarque que, pour chaque entier négatif, il y a un nombre infini de roues à gauche en position 9. En fait, nous n’avons pas besoin d’une infinité de roues. Étant donné un entier, le nombre de roues nécessaire pour le représenter ✐ ✐ ✐ ✐ ✐ ✐ ✐ ✐ 44 Chapitre 6 • Arithmétique binaire est fini. Il suffit d’adopter la convention selon laquelle la roue la plus à gauche doit être dupliquée une infinité de fois pour retrouver la vraie position de l’odomètre. Cette représentation est utilisée par un certain nombre de langages de programmation capables de manipuler des entiers de taille arbitraire.

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Architecture de l'ordinateur : Portes logiques, circuits combinatoires, arithmétique binaire, circuits séquentiels et mémoires, exemple d'architecture by Robert Strandh, Irène Durand

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