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