Sr Examen
Expresión AB+(C+A)AB+AC
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Solución
Ha introducido
[src]
(a∧b)∨(a∧c)∨(a∧b∧(a∨c))
$$\left(a \wedge b\right) \vee \left(a \wedge c\right) \vee \left(a \wedge b \wedge \left(a \vee c\right)\right)$$
Solución detallada
$$a \wedge b \wedge \left(a \vee c\right) = a \wedge b$$
$$\left(a \wedge b\right) \vee \left(a \wedge c\right) \vee \left(a \wedge b \wedge \left(a \vee c\right)\right) = a \wedge \left(b \vee c\right)$$
$$\left(a \wedge b\right) \vee \left(a \wedge c\right) \vee \left(a \wedge b \wedge \left(a \vee c\right)\right) = a \wedge \left(b \vee c\right)$$
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 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+