Sr Examen
Expresión ¬(avb)&(avb)vc
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Solución
Ha introducido
[src]
c∨((a∨b)∧(¬(a∨b)))
$$c \vee \left(\neg \left(a \vee b\right) \wedge \left(a \vee b\right)\right)$$
Solución detallada
$$\neg \left(a \vee b\right) = \neg a \wedge \neg b$$
$$\neg \left(a \vee b\right) \wedge \left(a \vee b\right) = \text{False}$$
$$c \vee \left(\neg \left(a \vee b\right) \wedge \left(a \vee b\right)\right) = c$$
$$\neg \left(a \vee b\right) \wedge \left(a \vee b\right) = \text{False}$$
$$c \vee \left(\neg \left(a \vee b\right) \wedge \left(a \vee b\right)\right) = c$$
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 | +---+---+---+--------+