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