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