Sr Examen
Expresión XvT&Y&Z&¬(XvT)
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
x∨(t∧y∧z∧(¬(t∨x)))
$$x \vee \left(t \wedge y \wedge z \wedge \neg \left(t \vee x\right)\right)$$
Solución detallada
$$\neg \left(t \vee x\right) = \neg t \wedge \neg x$$
$$t \wedge y \wedge z \wedge \neg \left(t \vee x\right) = \text{False}$$
$$x \vee \left(t \wedge y \wedge z \wedge \neg \left(t \vee x\right)\right) = x$$
$$t \wedge y \wedge z \wedge \neg \left(t \vee x\right) = \text{False}$$
$$x \vee \left(t \wedge y \wedge z \wedge \neg \left(t \vee x\right)\right) = x$$
Tabla de verdad
+---+---+---+---+--------+ | t | x | y | z | result | +===+===+===+===+========+ | 0 | 0 | 0 | 0 | 0 | +---+---+---+---+--------+ | 0 | 0 | 0 | 1 | 0 | +---+---+---+---+--------+ | 0 | 0 | 1 | 0 | 0 | +---+---+---+---+--------+ | 0 | 0 | 1 | 1 | 0 | +---+---+---+---+--------+ | 0 | 1 | 0 | 0 | 1 | +---+---+---+---+--------+ | 0 | 1 | 0 | 1 | 1 | +---+---+---+---+--------+ | 0 | 1 | 1 | 0 | 1 | +---+---+---+---+--------+ | 0 | 1 | 1 | 1 | 1 | +---+---+---+---+--------+ | 1 | 0 | 0 | 0 | 0 | +---+---+---+---+--------+ | 1 | 0 | 0 | 1 | 0 | +---+---+---+---+--------+ | 1 | 0 | 1 | 0 | 0 | +---+---+---+---+--------+ | 1 | 0 | 1 | 1 | 0 | +---+---+---+---+--------+ | 1 | 1 | 0 | 0 | 1 | +---+---+---+---+--------+ | 1 | 1 | 0 | 1 | 1 | +---+---+---+---+--------+ | 1 | 1 | 1 | 0 | 1 | +---+---+---+---+--------+ | 1 | 1 | 1 | 1 | 1 | +---+---+---+---+--------+