Sr Examen
Expresión av¬b&(¬av¬c)&b
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Solución
Ha introducido
[src]
a∨(b∧(¬b)∧((¬a)∨(¬c)))
$$a \vee \left(b \wedge \neg b \wedge \left(\neg a \vee \neg c\right)\right)$$
Solución detallada
$$b \wedge \neg b \wedge \left(\neg a \vee \neg c\right) = \text{False}$$
$$a \vee \left(b \wedge \neg b \wedge \left(\neg a \vee \neg c\right)\right) = a$$
$$a \vee \left(b \wedge \neg b \wedge \left(\neg a \vee \neg c\right)\right) = a$$
Tabla de verdad
+---+---+---+--------+ | a | b | c | result | +===+===+===+========+ | 0 | 0 | 0 | 0 | +---+---+---+--------+ | 0 | 0 | 1 | 0 | +---+---+---+--------+ | 0 | 1 | 0 | 0 | +---+---+---+--------+ | 0 | 1 | 1 | 0 | +---+---+---+--------+ | 1 | 0 | 0 | 1 | +---+---+---+--------+ | 1 | 0 | 1 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+