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