Daten und Kodierung • Calify

Kategorie:Informatik Informatik • Leistungskurs

Binärsystem

Binär nach Dezimal

Zweiersystem	2⁵ = 32	2⁴ = 16	2³ = 8	2² = 4	2¹ = 2	2⁰ = 1
	0	1	1	1	0	1

011101 = 29

Dezimal nach Binär

Zweierkomplement

Darstellung von negativen Zahlen
Zahlen bis 64 (6 Bit): -32; +31
Formel für Bereich: -(2^n-1) bis (2^n-1)-1
Erste Stelle: 0 = positiv; 1 = negativ
Negative Zahlen werden invertiert und plus 1 gerechnet

Bsp.: Darzustellende Zahl: 5

5 = 0101₂
Invertieren: 0101₂ → 1010₂
+1: 1011₂

Zurück die gleichen Schritte gehen

Binär Rechner Zweierkomplement

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