Grundlagen der Technischen Informatik - download pdf or read online

By Dirk W. Hoffmann

ISBN-10: 3446406913

ISBN-13: 9783446406919

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Hr. lcicbcnloscn Darstcllung übereinstimmen. lcichcnbildarstcllung am Beispicl der vierstelligcn Dualzahlen. Cichenbildarstcllung bietct mehrere Voncile. 8. das hNenieren eincr Zahl sehr cinfach möglich. lCichcnbit kippen - alle anderen Bits bleiben U1Ner3nden. Da wir auf diese Weise rur jt'(\c Zahl +z auch den negienen Wen -z repräsentieren können. ist die Zahlendarstc[[ung symmetrisch. 7 deutlich zu sehcn ist. ist die VorLeichenbitdarstellung allerdings nicht eineindcutig. da die Null verschiedene Repräsentationen besitzt.

EingeselZl wird die Festkommaarilhmelik insbesondere im Bereich der SignalycrarbcilUng und enlsprechend viele digitale Signalprozessoren (DSPs) sind mit kislUngsfähigcn Fcstkommaarithmetikeinheitcn ausgestattct Klassische Mikroprozcssoren (CPUs) wie auch moderne Grafikprozcssoren (GPUs) sclZcn stattdcssen auf die Gleitkommaaritmtlerik. die wir im Folgcnden Abschniu genaucr untersuchen wcrden. Der Pentillm·I·Pro~eSS()r der Finna intel sorgte 1993 bereits kuu nach seiner Markteinruhnmg rur Schlagzeilen.

_.. , ............................ ~ ... ()()() ()()() __ _ ,, ...................... Einerkomplement . _ . 8: In der EineT\:ompkllEntdarstellung wird eine Zahl durcb das Inverlieren oll" Bits negiert. Genau wie bei der Vorzeichenbitdarstellung ist der abge~ck­ te Wertebereich symmetrisch. die Null besilZl jedoch weiterhin zwei Damellungen. Unter Beachttulg der Übertragsaddilionsregel lassen sich EinerkomplementzahJen fasl wie vorzeichenlose Dualzahlen addiereIl , + + -6 -I 0101 1001 (') (-6) 1110 ( 1) 3.

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Grundlagen der Technischen Informatik by Dirk W. Hoffmann


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