Question

F=(X&¬Y)vZ таблица истинности ОЧЕНЬ ОЧЕНЬ СРОЧНО ​

Answer 1

Ответ:

Конъюнкция

(AND)

{\displaystyle a}a {\displaystyle b}b {\displaystyle a\land b}a\land b

{\displaystyle 0}{\displaystyle 0} {\displaystyle 0}{\displaystyle 0} {\displaystyle 0}{\displaystyle 0}

{\displaystyle 0}{\displaystyle 0} {\displaystyle 1}1 {\displaystyle 0}{\displaystyle 0}

{\displaystyle 1}1 {\displaystyle 0}{\displaystyle 0} {\displaystyle 0}{\displaystyle 0}

{\displaystyle 1}1 {\displaystyle 1}1 {\displaystyle 1}1

Дизъюнкция

(OR)

{\displaystyle a}a {\displaystyle b}b {\displaystyle a\lor b}a\lor b

{\displaystyle 0}{\displaystyle 0} {\displaystyle 0}{\displaystyle 0} {\displaystyle 0}{\displaystyle 0}

{\displaystyle 0}{\displaystyle 0} {\displaystyle 1}1 {\displaystyle 1}1

{\displaystyle 1}1 {\displaystyle 0}{\displaystyle 0} {\displaystyle 1}1

{\displaystyle 1}1 {\displaystyle 1}1 {\displaystyle 1}1

Сложение по модулю 2

(XOR)

{\displaystyle a}a {\displaystyle b}b {\displaystyle a\oplus b}{\displaystyle a\oplus b}

{\displaystyle 0}{\displaystyle 0} {\displaystyle 0}{\displaystyle 0} {\displaystyle 0}{\displaystyle 0}

{\displaystyle 0}{\displaystyle 0} {\displaystyle 1}1 {\displaystyle 1}1

{\displaystyle 1}1 {\displaystyle 0}{\displaystyle 0} {\displaystyle 1}1

{\displaystyle 1}1 {\displaystyle 1}1 {\displaystyle 0}{\displaystyle 0}

Импликация

{\displaystyle a}a {\displaystyle b}b {\displaystyle a\rightarrow b}{\displaystyle a\rightarrow b}

{\displaystyle 0}{\displaystyle 0} {\displaystyle 0}{\displaystyle 0} {\displaystyle 1}1

{\displaystyle 0}{\displaystyle 0} {\displaystyle 1}1 {\displaystyle 1}1

{\displaystyle 1}1 {\displaystyle 0}{\displaystyle 0} {\displaystyle 0}{\displaystyle 0}

{\displaystyle 1}1 {\displaystyle 1}1 {\displaystyle 1}1

Эквиваленция

{\displaystyle a}a {\displaystyle b}b {\displaystyle a\leftrightarrow b}{\displaystyle a\leftrightarrow b}

{\displaystyle 0}{\displaystyle 0} {\displaystyle 0}{\displaystyle 0} {\displaystyle 1}1

{\displaystyle 0}{\displaystyle 0} {\displaystyle 1}1 {\displaystyle 0}{\displaystyle 0}

{\displaystyle 1}1 {\displaystyle 0}{\displaystyle 0} {\displaystyle 0}{\displaystyle 0}

{\displaystyle 1}1 {\displaystyle 1}1 {\displaystyle 1}1

Штрих Шеффера

{\displaystyle a}a {\displaystyle b}b {\displaystyle a\mid b}{\displaystyle a\mid b}

{\displaystyle 0}{\displaystyle 0} {\displaystyle 0}{\displaystyle 0} {\displaystyle 1}1

{\displaystyle 0}{\displaystyle 0} {\displaystyle 1}1 {\displaystyle 1}1

{\displaystyle 1}1 {\displaystyle 0}{\displaystyle 0} {\displaystyle 1}1

{\displaystyle 1}1 {\displaystyle 1}1 {\displaystyle 0}{\displaystyle 0}

Стрелка Пирса

{\displaystyle a}a {\displaystyle b}b {\displaystyle a\downarrow b}{\displaystyle a\downarrow b}

{\displaystyle 0}{\displaystyle 0} {\displaystyle 0}{\displaystyle 0} {\displaystyle 1}1

{\displaystyle 0}{\displaystyle 0} {\displaystyle 1}1 {\displaystyle 0}{\displaystyle 0}

{\displaystyle 1}1 {\displaystyle 0}{\displaystyle 0} {\displaystyle 0}{\displaystyle 0}

{\displaystyle 1}1 {\displaystyle 1}1 {\displaystyle 0}{\displaystyle 0}

Отрицание

(NOT)

{\displaystyle a}a {\displaystyle \neg a}\neg a

{\displaystyle 0}{\displaystyle 0} {\displaystyle 1}1

{\displaystyle 1}1 {\displaystyle 0}{\displaystyle 0}

Объяснение: