Sr Examen
Expresión ava&bva&b&cva&d&f
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Solución
Ha introducido
[src]
a∨(a∧b)∨(a∧b∧c)∨(a∧d∧f)
$$a \vee \left(a \wedge b\right) \vee \left(a \wedge b \wedge c\right) \vee \left(a \wedge d \wedge f\right)$$
Solución detallada
$$a \vee \left(a \wedge b\right) \vee \left(a \wedge b \wedge c\right) \vee \left(a \wedge d \wedge f\right) = a$$
Tabla de verdad
+---+---+---+---+---+--------+ | a | b | c | d | f | result | +===+===+===+===+===+========+ | 0 | 0 | 0 | 0 | 0 | 0 | +---+---+---+---+---+--------+ | 0 | 0 | 0 | 0 | 1 | 0 | +---+---+---+---+---+--------+ | 0 | 0 | 0 | 1 | 0 | 0 | +---+---+---+---+---+--------+ | 0 | 0 | 0 | 1 | 1 | 0 | +---+---+---+---+---+--------+ | 0 | 0 | 1 | 0 | 0 | 0 | +---+---+---+---+---+--------+ | 0 | 0 | 1 | 0 | 1 | 0 | +---+---+---+---+---+--------+ | 0 | 0 | 1 | 1 | 0 | 0 | +---+---+---+---+---+--------+ | 0 | 0 | 1 | 1 | 1 | 0 | +---+---+---+---+---+--------+ | 0 | 1 | 0 | 0 | 0 | 0 | +---+---+---+---+---+--------+ | 0 | 1 | 0 | 0 | 1 | 0 | +---+---+---+---+---+--------+ | 0 | 1 | 0 | 1 | 0 | 0 | +---+---+---+---+---+--------+ | 0 | 1 | 0 | 1 | 1 | 0 | +---+---+---+---+---+--------+ | 0 | 1 | 1 | 0 | 0 | 0 | +---+---+---+---+---+--------+ | 0 | 1 | 1 | 0 | 1 | 0 | +---+---+---+---+---+--------+ | 0 | 1 | 1 | 1 | 0 | 0 | +---+---+---+---+---+--------+ | 0 | 1 | 1 | 1 | 1 | 0 | +---+---+---+---+---+--------+ | 1 | 0 | 0 | 0 | 0 | 1 | +---+---+---+---+---+--------+ | 1 | 0 | 0 | 0 | 1 | 1 | +---+---+---+---+---+--------+ | 1 | 0 | 0 | 1 | 0 | 1 | +---+---+---+---+---+--------+ | 1 | 0 | 0 | 1 | 1 | 1 | +---+---+---+---+---+--------+ | 1 | 0 | 1 | 0 | 0 | 1 | +---+---+---+---+---+--------+ | 1 | 0 | 1 | 0 | 1 | 1 | +---+---+---+---+---+--------+ | 1 | 0 | 1 | 1 | 0 | 1 | +---+---+---+---+---+--------+ | 1 | 0 | 1 | 1 | 1 | 1 | +---+---+---+---+---+--------+ | 1 | 1 | 0 | 0 | 0 | 1 | +---+---+---+---+---+--------+ | 1 | 1 | 0 | 0 | 1 | 1 | +---+---+---+---+---+--------+ | 1 | 1 | 0 | 1 | 0 | 1 | +---+---+---+---+---+--------+ | 1 | 1 | 0 | 1 | 1 | 1 | +---+---+---+---+---+--------+ | 1 | 1 | 1 | 0 | 0 | 1 | +---+---+---+---+---+--------+ | 1 | 1 | 1 | 0 | 1 | 1 | +---+---+---+---+---+--------+ | 1 | 1 | 1 | 1 | 0 | 1 | +---+---+---+---+---+--------+ | 1 | 1 | 1 | 1 | 1 | 1 | +---+---+---+---+---+--------+