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