Sr Examen
Expresión а&bvcv(a&c)⇒b
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Solución
Ha introducido
[src]
(c∨(a∧b)∨(a∧c))⇒b
$$\left(c \vee \left(a \wedge b\right) \vee \left(a \wedge c\right)\right) \Rightarrow b$$
Solución detallada
$$c \vee \left(a \wedge b\right) \vee \left(a \wedge c\right) = c \vee \left(a \wedge b\right)$$
$$\left(c \vee \left(a \wedge b\right) \vee \left(a \wedge c\right)\right) \Rightarrow b = b \vee \neg c$$
$$\left(c \vee \left(a \wedge b\right) \vee \left(a \wedge c\right)\right) \Rightarrow b = b \vee \neg c$$
Tabla de verdad
+---+---+---+--------+ | a | b | c | result | +===+===+===+========+ | 0 | 0 | 0 | 1 | +---+---+---+--------+ | 0 | 0 | 1 | 0 | +---+---+---+--------+ | 0 | 1 | 0 | 1 | +---+---+---+--------+ | 0 | 1 | 1 | 1 | +---+---+---+--------+ | 1 | 0 | 0 | 1 | +---+---+---+--------+ | 1 | 0 | 1 | 0 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+