Sr Examen
Expresión x*yVx*y*zVx*z*p
El profesor se sorprenderá mucho al ver tu solución correcta😉
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Solución
Ha introducido
[src]
(x∧y)∨(p∧x∧z)∨(x∧y∧z)
$$\left(x \wedge y\right) \vee \left(p \wedge x \wedge z\right) \vee \left(x \wedge y \wedge z\right)$$
Solución detallada
$$\left(x \wedge y\right) \vee \left(p \wedge x \wedge z\right) \vee \left(x \wedge y \wedge z\right) = x \wedge \left(p \vee y\right) \wedge \left(y \vee z\right)$$
Tabla de verdad
+---+---+---+---+--------+ | p | 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 | 0 | +---+---+---+---+--------+ | 0 | 1 | 0 | 1 | 0 | +---+---+---+---+--------+ | 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 | 0 | +---+---+---+---+--------+ | 1 | 1 | 0 | 1 | 1 | +---+---+---+---+--------+ | 1 | 1 | 1 | 0 | 1 | +---+---+---+---+--------+ | 1 | 1 | 1 | 1 | 1 | +---+---+---+---+--------+
FNC
[src]
Ya está reducido a FNC
$$x \wedge \left(p \vee y\right) \wedge \left(y \vee z\right)$$
x∧(p∨y)∧(y∨z)
FND
[src]
$$\left(x \wedge y\right) \vee \left(p \wedge x \wedge y\right) \vee \left(p \wedge x \wedge z\right) \vee \left(x \wedge y \wedge z\right)$$
(x∧y)∨(p∧x∧y)∨(p∧x∧z)∨(x∧y∧z)