Sr Examen
Expresión (¬avb)v(¬bvc)∧(a∧¬b)
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Solución
Ha introducido
[src]
b∨(¬a)∨(a∧(¬b)∧(c∨(¬b)))
$$b \vee \left(a \wedge \neg b \wedge \left(c \vee \neg b\right)\right) \vee \neg a$$
Solución detallada
$$a \wedge \neg b \wedge \left(c \vee \neg b\right) = a \wedge \neg b$$
$$b \vee \left(a \wedge \neg b \wedge \left(c \vee \neg b\right)\right) \vee \neg a = 1$$
$$b \vee \left(a \wedge \neg b \wedge \left(c \vee \neg b\right)\right) \vee \neg a = 1$$
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 | +---+---+---+--------+