Sr Examen
Expresión avb&(avc&b)
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
a∨(b∧(a∨(b∧c)))
$$a \vee \left(b \wedge \left(a \vee \left(b \wedge c\right)\right)\right)$$
Solución detallada
$$b \wedge \left(a \vee \left(b \wedge c\right)\right) = b \wedge \left(a \vee c\right)$$
$$a \vee \left(b \wedge \left(a \vee \left(b \wedge c\right)\right)\right) = a \vee \left(b \wedge c\right)$$
$$a \vee \left(b \wedge \left(a \vee \left(b \wedge c\right)\right)\right) = a \vee \left(b \wedge c\right)$$
Tabla de verdad
+---+---+---+--------+ | a | b | c | result | +===+===+===+========+ | 0 | 0 | 0 | 0 | +---+---+---+--------+ | 0 | 0 | 1 | 0 | +---+---+---+--------+ | 0 | 1 | 0 | 0 | +---+---+---+--------+ | 0 | 1 | 1 | 1 | +---+---+---+--------+ | 1 | 0 | 0 | 1 | +---+---+---+--------+ | 1 | 0 | 1 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+