@@ -203,11 +203,11 @@ style="width: 80%; min-width: 420px; max-width: 720px;"
203203Der Teiler definiert das avisierte Zahlensystem
204204 |
205205 v
206- 29 / 2 = 14 Rest 1 |
206+ 29 / 2 = 14 Rest 1 ^
207207 14 / 2 = 7 Rest 0 |
208208 7 / 2 = 3 Rest 1 |
209209 3 / 2 = 1 Rest 1 |
210- 1 / 2 = 0 Rest 1 v .
210+ 1 / 2 = 0 Rest 1 | .
211211
212212```
213213
@@ -235,7 +235,7 @@ __Beispiel:__ $242_{10}$ in binär
235235style="width: 80%; min-width: 420px; max-width: 720px;"
236236-->
237237``` ascii
238- 523 / 2 = 261 Rest 1 |
238+ 523 / 2 = 261 Rest 1 ^
239239 261 / 2 = 130 Rest 1 |
240240 130 / 2 = 65 Rest 0 |
241241 65 / 2 = 32 Rest 1 |
@@ -244,7 +244,7 @@ style="width: 80%; min-width: 420px; max-width: 720px;"
244244 8 / 2 = 4 Rest 0 |
245245 4 / 2 = 2 Rest 0 |
246246 2 / 2 = 1 Rest 0 |
247- 1 / 2 = 0 Rest 1 v
247+ 1 / 2 = 0 Rest 1 |
248248```
249249$523_ {10}$=$1000001011_ {2}$
250250
@@ -290,11 +290,11 @@ style="width: 80%; min-width: 420px; max-width: 720px;"
290290Der Faktor definiert das avisierte Zahlensystem
291291 |
292292 v
293- 0.28125 ∙ 2 = 0.5625 "<" 1 -> 0 Rest 0.5625
294- 0.5625 ∙ 2 = 1.125 ">" 1 -> 1 Rest 0.125
295- 0.125 ∙ 2 = 0.25 "<" 1 -> 0 Rest 0.25
296- 0.25 ∙ 2 = 0.5 "<" 1 -> 0 Rest 0.5
297- 0.5 ∙ 2 = 1 "<="1 -> 1 Rest 0 .
293+ 0.28125 ∙ 2 = 0.5625 "<" 1 -> 0 | Rest 0.5625
294+ 0.5625 ∙ 2 = 1.125 ">" 1 -> 1 | Rest 0.125
295+ 0.125 ∙ 2 = 0.25 "<" 1 -> 0 | Rest 0.25
296+ 0.25 ∙ 2 = 0.5 "<" 1 -> 0 | Rest 0.5
297+ 0.5 ∙ 2 = 1 "<="1 -> 1 v Rest 0 .
298298
299299```
300300
@@ -308,15 +308,15 @@ Ergebnis $0.28125_{10} = 0.25 + 0.03125 = 0.01001$
308308style="width: 80%; min-width: 420px; max-width: 720px;"
309309-->
310310``` ascii
311- 0.1 ∙ 2 = 0.2 0 Rest 0.2
312- 0.2 ∙ 2 = 0.4 0 Rest 0.4
313- 0.4 ∙ 2 = 0.8 0 Rest 0.8
314- 0.8 ∙ 2 = 1.6 1 Rest 0.6
315- 0.6 ∙ 2 = 1.2 1 Rest 0.2
316- 0.2 ∙ 2 = 0.4 0 Rest 0.4
317- 0.4 ∙ 2 = 0.8 0 Rest 0.8
318- 0.8 ∙ 2 = 1.6 1 Rest 0.6
319- 0.6 ∙ 2 = 1.2 1 Rest 0.2 .
311+ 0.1 ∙ 2 = 0.2 0 | Rest 0.2
312+ 0.2 ∙ 2 = 0.4 0 | Rest 0.4
313+ 0.4 ∙ 2 = 0.8 0 | Rest 0.8
314+ 0.8 ∙ 2 = 1.6 1 | Rest 0.6
315+ 0.6 ∙ 2 = 1.2 1 | Rest 0.2
316+ 0.2 ∙ 2 = 0.4 0 | Rest 0.4
317+ 0.4 ∙ 2 = 0.8 0 | Rest 0.8
318+ 0.8 ∙ 2 = 1.6 1 | Rest 0.6
319+ 0.6 ∙ 2 = 1.2 1 v Rest 0.2 .
320320```
321321
322322Ergebnis Offenbar ist für den Wert $0.1_ {10}$ keine exakte Repräsentation im dualen System möglich $0,0001100110011...._ 2$. Welche Konsequenzen hat das?
@@ -391,14 +391,14 @@ Kein Überlauf!
391391style="width: 80%; min-width: 420px; max-width: 720px;"
392392-->
393393``` ascii
394- 55 / 2 = 27 Rest 1 | 214 / 2 = 107 Rest 0 |
394+ 55 / 2 = 27 Rest 1 ^ 214 / 2 = 107 Rest 0 ^
395395 27 / 2 = 13 Rest 1 | 107 / 2 = 53 Rest 1 |
396396 13 / 2 = 6 Rest 1 | 53 / 2 = 26 Rest 1 |
397397 6 / 2 = 3 Rest 0 | 26 / 2 = 13 Rest 0 |
398398 3 / 2 = 1 Rest 1 | 13 / 2 = 6 Rest 1 |
399- 1 / 2 = 0 Rest 1 v 6 / 2 = 3 Rest 0 |
399+ 1 / 2 = 0 Rest 1 | 6 / 2 = 3 Rest 0 |
400400 3 / 2 = 1 Rest 1 |
401- 1 / 2 = 0 Rest 1 v .
401+ 1 / 2 = 0 Rest 1 | .
402402```
403403
404404 {{1}}
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