Sr Examen
Expresión ¬(xvy)vyv(x&y&z)v¬x
El profesor se sorprenderá mucho al ver tu solución correcta😉
⌨
Solución
Ha introducido
[src]
y∨(¬x)∨(x∧y∧z)∨(¬(x∨y))
$$y \vee \left(x \wedge y \wedge z\right) \vee \neg x \vee \neg \left(x \vee y\right)$$
Solución detallada
$$\neg \left(x \vee y\right) = \neg x \wedge \neg y$$
$$y \vee \left(x \wedge y \wedge z\right) \vee \neg x \vee \neg \left(x \vee y\right) = y \vee \neg x$$
$$y \vee \left(x \wedge y \wedge z\right) \vee \neg x \vee \neg \left(x \vee y\right) = y \vee \neg x$$
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 | 0 | +---+---+---+--------+ | 1 | 1 | 0 | 1 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+