Sr Examen
Expresión xz(yzvxy)
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
x∧z∧((x∧y)∨(y∧z))
$$x \wedge z \wedge \left(\left(x \wedge y\right) \vee \left(y \wedge z\right)\right)$$
Solución detallada
$$\left(x \wedge y\right) \vee \left(y \wedge z\right) = y \wedge \left(x \vee z\right)$$
$$x \wedge z \wedge \left(\left(x \wedge y\right) \vee \left(y \wedge z\right)\right) = x \wedge y \wedge z$$
$$x \wedge z \wedge \left(\left(x \wedge y\right) \vee \left(y \wedge z\right)\right) = x \wedge y \wedge z$$
Tabla de verdad
+---+---+---+--------+ | x | y | z | result | +===+===+===+========+ | 0 | 0 | 0 | 0 | +---+---+---+--------+ | 0 | 0 | 1 | 0 | +---+---+---+--------+ | 0 | 1 | 0 | 0 | +---+---+---+--------+ | 0 | 1 | 1 | 0 | +---+---+---+--------+ | 1 | 0 | 0 | 0 | +---+---+---+--------+ | 1 | 0 | 1 | 0 | +---+---+---+--------+ | 1 | 1 | 0 | 0 | +---+---+---+--------+ | 1 | 1 | 1 | 1 | +---+---+---+--------+