Часть 3 – Логические функции и преобразование логических выражений
⇐ ПредыдущаяСтр 2 из 2
| № | Упростите логическое выражение | Построить таблицу истинности для логической функции на всех наборах ее переменных |
| 1 | 
| F(X1, X2, X3) = (X1 Ú X2) ÙØ((X1 Ú X3) Ù(X2 Ú X3)) |
| 2 | 
| F(X1, X2, X3) = Ø(X1 Ú X2) Ù (X1 Ú X3) Ù(X2 Ú X3) |
| 3 | 
| F(X1, X2, X3) = (X1 Ú X2) Ù (X1 Ú X3) ÙØ(X2 Ú X3) |
| 4 | 
| F(X1, X2, X3) = (X1 Ù X2)Ú(X1 Ù X3) ÚØ(X2 Ù X3) ÚØ X2 |
| 5 | 
| F(X1, X2, X3) = Ø(X1 Ù X2) Ú (X1 Ù X3) Ú (X2 Ù X3) |
| 6 | 
| F(X1, X2, X3) = (X1 Ù X2) Ú Ø (X1 Ù X3) Ú (X2 Ù X3) |
| 7 | 
| F(X1, X2, X3) = Ø ((X1 Ù X2) Ú Ø (X1 Ù X3)) Ú (X2 Ù X3) |
| 8 | 
| F(X1, X2, X3) = Ø ((X1 Ù X2) Ú (X1 Ù X3) )Ú (X2 Ù X3) |
| 9 | 
| F(X1, X2, X3) = (X1 Ù X2) Ú Ø ((X1 Ù X3) Ú (X2 Ù X3)) |
| 10 | 
| F(X1, X2, X3) = Ø (X1 Ù X2) Ú Ø( (X1 Ù X3) Ú (X2 Ù X3)) |
| 11 | 
| F(X1, X2, X3) = (X1 Ú ØX2) ÙØ ((X1 Ú X3) Ù(X2 Ú X3)) |
| 12 | 
| F(X1, X2, X3) = Ø(X1 Ú X2) Ù (X1 ÚØ X3) Ù(X2 Ú X3) |
| 13 | 
| F(X1, X2, X3) = (X1 Ú ØX2) Ù (X1 Ú X3) |
| 14 | 
| F(X1, X2, X3) = (ØX1 Ù X2) Ú (X1 Ù X3) ÚØ(X2 Ù X3) |
| 15 | 
| F(X1, X2, X3) = Ø(X1 ÙØ X2)Ú(X1 Ù X3)Ú(X2 Ù X3) Ú ØX1 |
| 16 | 
| F(X1, X2, X3) = (X1 Ù X2) Ú Ø (X1 Ù X3) |
| 17 | 
| F(X1, X2, X3) = Ø ((X1 Ù X2) Ú Ø (X1 Ù X3)) |
| 18 | 
| F(X1, X2, X3) = Ø ((X1 Ù X2) Ú (X1 Ù X3) ) |
| 19 | 
| F(X1, X2, X3) = (X1 Ù X2) Ú Ø ((X1 Ù X3) Ú (X2 Ù ØX3)) |
| 20 | 
| F(X1, X2, X3) = Ø( (X1 Ù ØX3) Ú (X2 Ù X3)) |
| 21 | a Ú ( a ^ b) ^ ( a Ú b) | F(X1, X2, X3) = (X1 Ú X2) ÙØ((X1 Ú ØX3) Ù(X2 Ú X3)) |
| 22 | a ^ (a Ú b) ^ (c Ú b) | F(X1, X2, X3) = Ø(X1 Ú X2) Ù (X1 Ú X3) Ù(X2 Ú X3) |
| 23 | a ^ b Ú b ^ c Ú a ^ b | F(X1, X2, X3) = (X1 Ú X2) Ù (ØX1 Ú X3) ÙØ(X2 Ú X3) |
| 24 | (a Ú a) ^ b | F(X1, X2, X3) = (X1 Ù X2)Ú(ØX1 Ù X3) Ú (ØX1ÙØX2) |
| 25 | ( a Ú b) ^ ( a Ú b) ^ ( c Ú b ) | F(X1, X2, X3) = Ø(X1 Ù ØX2) Ú (X1 Ù X3) Ú (X2 Ù X3) |
| 26 | a Ú ( a ^ b) | F(X1, X2, X3) = (X1 Ù ØX2) Ú Ø (X1 Ù X3) Ú (X2 Ù X3) |
| 27 | ((a Ú b) → (b Úc)) | F(X1, X2, X3) = Ø ((X1 Ù ØX2) Ú (X1 Ù X3)) Ú (X2 Ù X3) |
| 28 | ( a Ú b ) Ù ( a Ú b) | F(X1, X2, X3) = Ø ((X1 Ù X2) Ú (ØX1 Ù X3) )Ú (X2 Ù X3) |
| 29 | ((a Ú b) → (b Ú c)) | F(X1, X2, X3) = (X1 Ù X2) Ú Ø ((X1 Ù ØX3) Ú (X2 Ù X3)) |
| 30 | (a→ b ^ c) ^ (c→b ^ a) ^ ^ (b→ c ^ a) | F(X1, X2, X3) = Ø( (ØX1 Ù X3) Ú (X2 Ù X3)) |
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