В таблице заданы номера наборов аргументов, на которых логическая функция принимает значение, равное единице. Найти
1. СКНФ, СДНФ;
2. минимальную ДНФ:
а) методом Квайна;
б) с помощью карт Карно.
Номер задачи
| Номера конституент единиц
| Номер задачи
| Номера конституент единиц
|
| 0,1,3,4,6,8,9,12,14,15
|
| 0,4,5,7,8,9,10,11,12,13
|
| 1,2,3,4,5,10,11,12,13,14
|
| 2,4,5,6,7,9,10,12,13,15
|
| 0,1,2,3,4,6,9,11,12,13
|
| 0,1,3,4,5,8,9,10,12,15
|
| 0,2,4,5,6,11,12,13,14,15
|
| 2,3,4,5,6,7,9,11,14,15
|
| 0,1,4,5,6,8,12,13,14,15
|
| 0,1,2,3,7,8,9,10,11,14
| Номер задачи
| Номера конституент единиц
| Номер задачи
| Номера конституент единиц
|
| 0,2,3,6,7,8,9,10,11,14
|
| 1,2,3,4,5,7,9,10,11,12
|
| 1,2,3,5,7,8,10,11,12,15
|
| 1,3,4,6,9,10,11,12,14,15
|
| 0,3,4,5,7,8,10,11,12,14
|
| 1,3,4,5,8,9,11,12,13,14,15
|
| 0,1,4,5,6,8,12,13,14,15
|
| 1,2,4,5,7,9,10,12,13,15
|
| 1,2,3,5,6,8,10,12,13,14
|
| 0,2,4,5,7,8,10,11,13,14,15
|
Задачи 121-140
Граф G задан списком ребер (каждый элемент списка – это тройка чисел: номера двух смежных вершин и вес ребра, их соединяющего). Требуется
а) Нарисовать граф G.
б) Найти степенную последовательность графа G.
в) Найти матрицу смежности графа G.
г) Обозначить ребра и найти матрицу инцидентности графа.
д) Определить количество компонент связности графа.
е) Найти четыре простых цикла.
ж) Найти минимальный остов графа и его вес.
Номер задачи
| Список ребер с весами
| Номер задачи
| Список ребер с весами
|
| (1,4,5), (1,5,3), (1,6,1), (1,8,4), (2,3,6), (2,6,3), (3,8,2), (4,5,1), (4,6,5), (4,7,4), (6,7,7)
|
| (1,3,2), (1,7,5), (2,6,7), (2,8,3), (3,6,8), (4,7,2), (4,8,1), (5,6,4), (5,8,6), (6,7,9), (7,8,5)
|
| (1,2,6), (1,4,8), (1,5,5), (1,6,3), (2,3,6), (2,4,1), (2,5,2), (3,8,7), (4,5,1), (4,6,2), (4,7,5), (4,8,9), (5,6,3), (6,8,2), (7,8,5)
|
| (1,2,9), (1,3,5), (1,5,4), (1,6,7), (2,6,1), (2,8,7), (3,4,8), (3,5,3), (3,6,1), (3,7,2), (4,8,6), (5,6,3), (5,7,4)
|
| (1,3,4), (1,5,7), (1,7,1), (2,5,8), (2,6,2), (3,4,3), (3,6,8), (3,7,2), (4,6,1), (4,7,5), (4,8,3), (6,8,1)
|
| (1,2,7), (1,4,9), (1,5,2), (1,8,5), (2,3,9), (3,7,1), (4,5,3), (4,7,6), (4,8,1), (5,7,4), (5,8,6), (6,8,1)
|
| (1,4,3), (1,5,6), (1,6,8), (1,8,3), (2,3,1), (2,6,2), (2,8,4), (3,7,6), (3,8,9), (4,5,1), (4,6,2), (4,7,7), (6,7,2)
|
| (1,5,7), (1,6,6), (1,7,9), (2,5,3), (2,6,5), (2,7,8), (2,8,1), (3,5,2), (3,6,6), (3,8,4), (4,6,1), (4,7,2), (4,8,5)
|
| (1,5,3), (1,6,6), (1,7,8), (2,5,9), (2,6,7), (2,7,2), (3,5,1), (3,6,3) (3,8,4), (4,7,6), (4,8,1)
|
| (1,3,8), (1,5,3), (2,6,1), (3,4,6), (3,6,3), (3,7,2), (4,6,7), (4,7,6) (4,8,2), (6,8,5)
|
| (1,3,6), (1,7,8), (2,6,5), (2,8,4), (3,5,3), (3,6,9), (3,7,4), (4,7,5), (4,8,2), (5,6,1), (5,7,3), (5,8,8), (6,7,4), (7,8,1)
|
| (1,2,4), (1,4,1), (1,5,5), (1,8,8), (2,3,4), (2,6,7), (2,7,1), (3,7,5), (4,5,4), (4,7,9), (4,8,7), (5,6,3), (5,8,1), (6,7,4), (6,8,2)
|
| (1,2,3), (1,3,7), (1,6,8), (2,6,4), (2,8,1), (3,4,5), (3,6,9), (3,7,2), (4,8,1), (5,6,4), (5,7,1)
|
| (1,4,5), (1,5,7), (2,6,4), (2,7,1), (2,8,6), (3,7,9), (3,8,3), (4,6,2), (4,8,1), (5,6,4), (5,7,8), (5,8,1)
|
| (1,2,7), (1,4,8), (1,5,6), (1,6,4), (2,3,1), (2,4,5), (2,5,8), (3,8,1), (4,5,4), (4,6,3), (4,7,5), (4,8,7), (5,6,3), (6,8,4), (7,8,2)
|
| (1,2,8), (1,4,7), (1,6,5), (2,3,4), (2,4,2), (3,8,6), (4,5,1), (4,6,7), (4,7,2), (4,8,4), (5,6,6), (6,8,1), (7,8,2)
|
| (1,4,8), (1,5,4), (1,6,6), (1,8,3), (2,3,1), (2,6,5), (3,8,7), (4,5,9), (4,7,2), (6,7,5), (7,8,1)
|
| (1,2,3), (1,3,5), (1,6,7), (1,8,9), (2,7,6), (3,4,1), (3,6,2), (3,8,7), (4,5,4), (5,6,3), (6,8,1), (7,8,9)
|
| (1,4,3), (1,5,6), (2,6,8), (2,7,9), (2,8,2), (3,7,5), (3,8,4), (4,6,1), (4,8,3), (5,6,7), (5,7,9), (5,8,4)
|
| (1,4,5), (1,5,3), (1,6,9), (1,8,7), (2,4,6), (2,6,15), (2,9,20), (3,4,18), (3,7,1), (3,8,4), (4,5,7), (4,6,3), (5,7,10), (6,9,8), (8,9,10)
|
Задачи 141-160
Найти минимальный автомат, эквивалентный данному.
Задача 141
| | | Задача 142
| | | Задача 143
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 2,0
| 4,1
|
|
|
| 2,0
| 6,1
|
|
|
| 5,0
| 9,1
|
| 8,1
| 7,0
|
|
|
| 8,1
| 3,0
|
|
|
| 3,0
| 5,1
|
| 8,1
| 6,0
|
|
|
| 1,0
| 8,1
|
|
|
| 9,1
| 4,0
|
| 3,0
| 5,1
|
|
|
| 9,0
| 8,1
|
|
|
| 2,0
| 9,1
|
| 2,0
| 4,1
|
|
|
| 8,1
| 4,0
|
|
|
| 6,0
| 5,1
|
| 4,0
| 8,1
|
|
|
| 2,0
| 9,1
|
|
|
| 9,1
| 1,0
|
| 9,0
| 8,1
|
|
|
| 5,0
| 7,1
|
|
|
| 3,0
| 8,1
|
| 5,1
| 3,1
|
|
|
| 6,1
| 2,1
|
|
|
| 6,0
| 7,1
|
| 2,0
| 9,1
|
|
|
| 5,0
| 9,1
|
|
|
| 2,1
| 3,1
|
Задача 144
| | | Задача 145
| | | Задача 146
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 4,1
| 2,0
|
|
|
| 6,1
| 8,1
|
|
|
| 4,1
| 9,0
|
| 3,0
| 4,1
|
|
|
| 1,1
| 5,0
|
|
|
| 5,0
| 8,1
|
| 5,0
| 3,1
|
|
|
| 7,0
| 1,1
|
|
|
| 7,0
| 4,1
|
| 7,1
| 5,1
|
|
|
| 2,0
| 6,1
|
|
|
| 8,1
| 5,1
|
| 4,1
| 8,0
|
|
|
| 6,0
| 1,1
|
|
|
| 4,1
| 3,0
|
| 1,0
| 6,1
|
|
|
| 8,0
| 7,1
|
|
|
| 1,0
| 6,1
|
| 1,0
| 3,1
|
|
|
| 8,0
| 4,1
|
|
|
| 5,0
| 2,1
|
| 9,0
| 4,1
|
|
|
| 1,1
| 3,0
|
|
|
| 1,0
| 6,1
|
| 5,0
| 6,1
|
|
|
| 2,0
| 7,1
|
|
|
| 6,0
| 4,1
| Задача 147
|
|
| Задача 148
|
|
| Задача 149
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 8,0
| 7,1
|
|
|
| 9,0
| 3,1
|
|
|
| 7,0
| 5,1
|
| 3,1
| 4,0
|
|
|
| 6,1
| 9,1
|
|
|
| 1,1
| 3,1
|
| 5,1
| 8,1
|
|
|
| 7,0
| 1,1
|
|
|
| 2,1
| 6,0
|
| 1,0
| 3,1
|
|
|
| 6,0
| 2,1
|
|
|
| 7,0
| 4,1
|
| 8,0
| 5,1
|
|
|
| 3,0
| 2,1
|
|
|
| 3,0
| 9,1
|
| 9,0
| 3,1
|
|
|
| 7,0
| 8,1
|
|
|
| 1,0
| 2,1
|
| 2,0
| 9,1
|
|
|
| 2,1
| 4,0
|
|
|
| 2,1
| 8,0
|
| 3,1
| 6,0
|
|
|
| 9,0
| 1,1
|
|
|
| 5,0
| 2,1
|
| 2,0
| 1,1
|
|
|
| 2,1
| 5,0
|
|
|
| 7,0
| 5,1
| Задача 150
|
|
| Задача 151
|
|
| Задача 152
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 7,1
| 3,1
|
|
|
| 2,1
| 6,0
|
|
|
| 6,1
| 8,1
|
| 3,0
| 5,1
|
|
|
| 8,1
| 1,1
|
|
|
| 1,1
| 3,0
|
| 1,1
| 6,0
|
|
|
| 9,0
| 3,1
|
|
|
| 4,0
| 1,1
|
| 7,0
| 1,1
|
|
|
| 7,0
| 2,1
|
|
|
| 2,0
| 4,1
|
| 3,0
| 2,1
|
|
|
| 9,0
| 7,1
|
|
|
| 6,0
| 1,1
|
| 2,0
| 1,1
|
|
|
| 8,0
| 2,1
|
|
|
| 8,0
| 9,1
|
| 3,0
| 9,1
|
|
|
| 1,0
| 5,1
|
|
|
| 8,0
| 7,1
|
| 1,1
| 4,0
|
|
|
| 1,0
| 3,1
|
|
|
| 1,1
| 5,0
|
| 8,0
| 5,1
|
|
|
| 2,1
| 4,0
|
|
|
| 2,0
| 9,1
| Задача 153
|
|
| Задача 154
|
|
| Задача 155
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 4,0
| 3,1
|
|
|
| 7,0
| 3,1
|
|
|
| 6,1
| 4,0
|
| 9,1
| 8,1
|
|
|
| 9,0
| 7,1
|
|
|
| 8,0
| 6,1
|
| 8,0
| 1,1
|
|
|
| 8,1
| 4,1
|
|
|
| 1,0
| 3,1
|
| 2,1
| 7,0
|
|
|
| 3,1
| 6,0
|
|
|
| 3,0
| 6,1
|
| 9,0
| 2,1
|
|
|
| 4,0
| 2,1
|
|
|
| 1,0
| 9,1
|
| 8,0
| 6,1
|
|
|
| 8,0
| 3,1
|
|
|
| 8,1
| 1,1
|
| 1,0
| 2,1
|
|
|
| 4,0
| 2,1
|
|
|
| 6,1
| 2,0
|
| 2,1
| 5,0
|
|
|
| 9,0
| 5,1
|
|
|
| 7,0
| 9,1
|
| 4,0
| 6,1
|
|
|
| 3,1
| 1,0
|
|
|
| 7,0
| 5,1
| Задача 156
|
|
| Задача 157
|
|
| Задача 158
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 5,1
| 2,0
|
|
|
| 2,0
| 7,1
|
|
|
| 6,0
| 9,1
|
| 9,0
| 5,1
|
|
|
| 3,0
| 6,1
|
|
|
| 2,0
| 4,1
|
| 8,0
| 4,1
|
|
|
| 7,1
| 9,0
|
|
|
| 6,0
| 5,1
|
| 1,0
| 3,1
|
|
|
| 7,1
| 1,0
|
|
|
| 2,1
| 6,1
|
| 9,1
| 1,1
|
|
|
| 4,0
| 8,1
|
|
|
| 7,0
| 9,1
|
| 1,0
| 6,1
|
|
|
| 4,0
| 5,1
|
|
|
| 4,1
| 2,0
|
| 6,0
| 5,1
|
|
|
| 2,1
| 4,1
|
|
|
| 4,1
| 8,0
|
| 5,1
| 7,0
|
|
|
| 3,0
| 8,1
|
|
|
| 5,0
| 4,1
|
| 8,0
| 6,1
|
|
|
| 6,0
| 7,1
|
|
|
| 7,0
| 3,1
| Задача 159
|
|
| Задача 160
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 5,0
| 3,1
|
|
|
| 2,0
| 3,1
|
|
|
|
|
|
| 3,1
| 7,0
|
|
|
| 1,0
| 6,1
|
|
|
|
|
|
| 4,1
| 9,1
|
|
|
| 8,1
| 4,0
|
|
|
|
|
|
| 2,0
| 8,1
|
|
|
| 6,0
| 5,1
|
|
|
|
|
|
| 9,0
| 6,1
|
|
|
| 9,1
| 1,0
|
|
|
|
|
|
| 9,0
| 5,1
|
|
|
| 1,0
| 8,1
|
|
|
|
|
|
| 6,0
| 3,1
|
|
|
| 1,1
| 7,1
|
|
|
|
|
|
| 2,0
| 6,1
|
|
|
| 4,0
| 9,1
|
|
|
|
|
|
| 3,1
| 1,0
|
|
|
| 4,0
| 2,1
|
|
|
|
|
|
Методические указания для выполнения контрольной работы
|