Sr Examen
Expresión ¬(av¬bvc)&¬(¬avbvc)
El profesor se sorprenderá mucho al ver tu solución correcta😉
⌨
Solución
Ha introducido
[src]
(¬(a∨c∨(¬b)))∧(¬(b∨c∨(¬a)))
$$\neg \left(a \vee c \vee \neg b\right) \wedge \neg \left(b \vee c \vee \neg a\right)$$
Solución detallada
$$\neg \left(a \vee c \vee \neg b\right) = b \wedge \neg a \wedge \neg c$$
$$\neg \left(b \vee c \vee \neg a\right) = a \wedge \neg b \wedge \neg c$$
$$\neg \left(a \vee c \vee \neg b\right) \wedge \neg \left(b \vee c \vee \neg a\right) = \text{False}$$
$$\neg \left(b \vee c \vee \neg a\right) = a \wedge \neg b \wedge \neg c$$
$$\neg \left(a \vee c \vee \neg b\right) \wedge \neg \left(b \vee c \vee \neg a\right) = \text{False}$$
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 | +---+---+---+--------+