Automat und Mensch: Kybernetische Tatsachen und Hypothesen by Karl Steinbuch

By Karl Steinbuch

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Bei einer Konjunktion erfolgt das Ereignis y = 1 dann, wenn XI und X 2 eintritt. Man schreibt dies kurz so: y = Xl • X 2 1 • , Der "J\Ialpunkt" ist hier das Symbol für die konjunktive Verknüpfung (identisch mit der logischen Multiplikation). B. B. bei ALGOL) yel'wendet. Siehe hierzu auch das Normblatt DIN 44 300.

B. 5 bit). Code: Zuordnung zwischen zwei Listen von Zeichen oder Zeichenserien, letztere heißen in diesem Fall auch Codewörter . Information8{/ehalt: Der Informationsgehalt I i eines Ereignisses Xi von N Ereignissen Xl'" XN mit den Wahrscheinlichkeiten p(x I ) ... P(XN), mit P(Xi) n > 0 und 1: i= 1 P(Xi) = 1 ist der Loga- 52 5. Logische Verknüpfungen und Zuordner rithmus des Kehrwertes der Wahrscheinlichkeit für sein Eintreten, also I i = log ljp(xi)' Wird der Logarithmus zur Basis 2 genommen (logarithmus dualis, ld), so erhält man den Informationsgehalt in bit.

Beispielsweise braucht man zur Auswahl einer von N = 100 Nachrichten [ld 100] = r~,32lg ]00] = [3,32 X 21 = [6,64] = 7 • ____ F ···:··1 j ~ . L~:~J 30 4. Informationstheorie Binärzeichen. Es ist naheliegend, die Anzahl der erforderlichen Binärzeichen als Kenngröße für die Auswahlleistung zu verwenden. Man nennt diese Einheit "ein bit" (Abkürzung für "binary digit"). Zur Auswahl eines speziellen der 8 Zeichen von Bild 12 brauchten wir 3 bit. Der Lochstreifen von Bild 14 übermittelt für jedes Zeichen 5 bit.

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