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Expresión ac∨c(b∨¬c)∨(a∨¬b)c
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Solución
Ha introducido
[src]
(a∧c)∨(c∧(a∨(¬b)))∨(c∧(b∨(¬c)))
$$\left(a \wedge c\right) \vee \left(c \wedge \left(a \vee \neg b\right)\right) \vee \left(c \wedge \left(b \vee \neg c\right)\right)$$
Solución detallada
$$c \wedge \left(b \vee \neg c\right) = b \wedge c$$
$$\left(a \wedge c\right) \vee \left(c \wedge \left(a \vee \neg b\right)\right) \vee \left(c \wedge \left(b \vee \neg c\right)\right) = c$$
$$\left(a \wedge c\right) \vee \left(c \wedge \left(a \vee \neg b\right)\right) \vee \left(c \wedge \left(b \vee \neg c\right)\right) = c$$
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 | +---+---+---+--------+