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  1. ╔══════════════════════════════════════════════════════════════════════════════╗
  2. ║ de Morgan                                                                    ║
  3. ║ ═════════                                                                    ║
  4. ║ Aufgabe ....... Beweise mit Hilfe des de Morganschen Gesetzes, daß           ║
  5. ║                    not (A and B) bzw.                                        ║
  6. ║                    not A or not B identisch sind.                            ║
  7. ║                                                                              ║
  8. ║ Aufbau ........ Die Negation der AND-Schaltung in Gleichung 1 wird über      ║
  9. ║                 ein Relais verwirklicht.                                     ║
  10. ║                                                                              ║
  11. ║                                                                              ║
  12. ║ Lösung ........ Beide Lampen zeigen durch Ihren gleichen Zustand (leuch-     ║
  13. ║                 ten = 1 bzw. aus = 0) die Identität an.                      ║
  14. ║                                                                              ║
  15. ║                                                                              ║
  16. ║                                                                              ║
  17. ║                                                                              ║
  18. ║                                                                              ║
  19. ║                                                                              ║
  20. ║                                                                              ║
  21. ║                                                                              ║
  22. ║                                                                              ║
  23. ╚══════════════════════════════════════════════════════════════════════════════╝
  24.                                                                                 
  25.              Eingabe           Verarbeitung                      Ausgabe        
  26.          Schalter Relais                                                        
  27.  ────────────────────────────────────────────────────────────────────────────── 
  28.                         a   d     f   g     ∙   ∙     ∙   ∙                     
  29.              0/1                                                                
  30.                        a∙─┬─∙∙   f∙─┬─∙∙   ∙∙─┬─∙∙   ∙∙─┬─∙∙    ∙──┐            
  31.  Schalt.A 1 ═░═══  ∙   ∙∙─┘ b∙   h∙─┘ ∙∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙    e──x1 Lampe     
  32.                        b∙─┬─∙∙   g∙─┬─∙∙   ∙∙─┬─∙∙   ∙∙─┬─∙∙    h──┐            
  33.           2 ═░═══  ∙   ∙∙─┘ c∙   i∙─┘ ∙∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙    i──x2           
  34.                        d∙─┬─∙∙   ∙∙─┬─∙∙   ∙∙─┬─∙∙   ∙∙─┬─∙∙    ∙──┐            
  35.           3 ═░═══  c   e∙─┘ ∙∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙    ∙──x3           
  36.                        ∙∙─┬─∙∙   ∙∙─┬─∙∙   ∙∙─┬─∙∙   ∙∙─┬─∙∙    ∙──┐            
  37.           4 ═░═══  ∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙    ∙──x4           
  38.                        ∙∙─┬─∙∙   ∙∙─┬─∙∙   ∙∙─┬─∙∙   ∙∙─┬─∙∙    ∙──┐            
  39.           5 ═░═══  ∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙    ∙──x5           
  40.                        ∙∙─┬─∙∙   ∙∙─┬─∙∙   ∙∙─┬─∙∙   ∙∙─┬─∙∙    ∙──┐            
  41.           6 ═░═══  ∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙    ∙──x6           
  42.                        ∙∙─┬─∙∙   ∙∙─┬─∙∙   ∙∙─┬─∙∙   ∙∙─┬─∙∙    ∙──┐            
  43.           7 ═░═══  ∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙    ∙──x7           
  44.                        ∙∙─┬─∙∙   ∙∙─┬─∙∙   ∙∙─┬─∙∙   ∙∙─┬─∙∙    ∙──┐            
  45.           8 ═░═══  ∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙   ∙∙─┘ ∙∙    ∙──x8           
  46.