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