Sr Examen
Expresión avb&(cv¬avavc)&¬b
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
a∨(b∧(¬b)∧(a∨c∨(¬a)))
$$a \vee \left(b \wedge \neg b \wedge \left(a \vee c \vee \neg a\right)\right)$$
Solución detallada
$$a \vee c \vee \neg a = 1$$
$$b \wedge \neg b \wedge \left(a \vee c \vee \neg a\right) = \text{False}$$
$$a \vee \left(b \wedge \neg b \wedge \left(a \vee c \vee \neg a\right)\right) = a$$
$$b \wedge \neg b \wedge \left(a \vee c \vee \neg a\right) = \text{False}$$
$$a \vee \left(b \wedge \neg b \wedge \left(a \vee c \vee \neg a\right)\right) = a$$
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 | 1 | +---+---+---+--------+ | 1 | 0 | 1 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+