September 2016
Intermediate to advanced
460 pages
13h 22m
German
Content preview from Programmierung, Algorithmen und Datenstrukturen
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Tab. 1.4. Wissenschaftliche Darstellung der physik. Konstanten
| Vorzeichen | Exponent | Mantisse |
| 0 | 30 | 19891 |
| 0 | 12 | 9460730 |
| 1 | 2 | 27315 |
| 0 | -12 | 8854187 |
| 0 | -34 | 1054571 |
Selbstverständlich können nicht alle Zahlen exakt gespeichert werden, nicht einmal die Zahl 1/3, denn sie erhielte die Darstellung
(0, 0, 3333333).
Eine kleine Schwierigkeit verbirgt sich noch in dem für den Exponenten zusätzlich benötigten Vorzeichen. Wir umgehen das Problem aber einfach, indem wir zum Exponenten einen festen Verschiebewert (engl.: bias, gelegentlich auch deutsch: Exzess) addieren, der das Ergebnis in einen positiven Bereich schiebt. Im obigen Beispiel wäre z.B. 49 ein guter bias. Statt 30 würden wir also eine 79 im Exponenten speichern und statt -32 eine 17. ...
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