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