Sr Examen
Expresión yv~(z&x)>~x
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
(y∨(¬(x∧z)))⇒(¬x)
$$\left(y \vee \neg \left(x \wedge z\right)\right) \Rightarrow \neg x$$
Solución detallada
$$\neg \left(x \wedge z\right) = \neg x \vee \neg z$$
$$y \vee \neg \left(x \wedge z\right) = y \vee \neg x \vee \neg z$$
$$\left(y \vee \neg \left(x \wedge z\right)\right) \Rightarrow \neg x = \left(z \wedge \neg y\right) \vee \neg x$$
$$y \vee \neg \left(x \wedge z\right) = y \vee \neg x \vee \neg z$$
$$\left(y \vee \neg \left(x \wedge z\right)\right) \Rightarrow \neg x = \left(z \wedge \neg y\right) \vee \neg x$$
Tabla de verdad
+---+---+---+--------+ | x | y | z | result | +===+===+===+========+ | 0 | 0 | 0 | 1 | +---+---+---+--------+ | 0 | 0 | 1 | 1 | +---+---+---+--------+ | 0 | 1 | 0 | 1 | +---+---+---+--------+ | 0 | 1 | 1 | 1 | +---+---+---+--------+ | 1 | 0 | 0 | 0 | +---+---+---+--------+ | 1 | 0 | 1 | 1 | +---+---+---+--------+ | 1 | 1 | 0 | 0 | +---+---+---+--------+ | 1 | 1 | 1 | 0 | +---+---+---+--------+
FNCD
[src]
$$\left(z \vee \neg x\right) \wedge \left(\neg x \vee \neg y\right)$$
(z∨(¬x))∧((¬x)∨(¬y))
FNC
[src]
$$\left(z \vee \neg x\right) \wedge \left(\neg x \vee \neg y\right)$$
(z∨(¬x))∧((¬x)∨(¬y))