Sr Examen
Expresión ¬(A∨B∧C)∨A∨C
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Solución
Ha introducido
[src]
a∨c∨(¬(a∨(b∧c)))
$$a \vee c \vee \neg \left(a \vee \left(b \wedge c\right)\right)$$
Solución detallada
$$\neg \left(a \vee \left(b \wedge c\right)\right) = \neg a \wedge \left(\neg b \vee \neg c\right)$$
$$a \vee c \vee \neg \left(a \vee \left(b \wedge c\right)\right) = 1$$
$$a \vee c \vee \neg \left(a \vee \left(b \wedge c\right)\right) = 1$$
Tabla de verdad
+---+---+---+--------+ | a | b | c | result | +===+===+===+========+ | 0 | 0 | 0 | 1 | +---+---+---+--------+ | 0 | 0 | 1 | 1 | +---+---+---+--------+ | 0 | 1 | 0 | 1 | +---+---+---+--------+ | 0 | 1 | 1 | 1 | +---+---+---+--------+ | 1 | 0 | 0 | 1 | +---+---+---+--------+ | 1 | 0 | 1 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+