Sr Examen

Expresión yz¬t+xyzt

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

    Ha introducido [src]
    (y∧z∧(¬t))∨(t∧x∧y∧z)
    $$\left(y \wedge z \wedge \neg t\right) \vee \left(t \wedge x \wedge y \wedge z\right)$$
    Solución detallada
    $$\left(y \wedge z \wedge \neg t\right) \vee \left(t \wedge x \wedge y \wedge z\right) = y \wedge z \wedge \left(x \vee \neg t\right)$$
    Simplificación [src]
    $$y \wedge z \wedge \left(x \vee \neg t\right)$$
    y∧z∧(x∨(¬t))
    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 | 1      |
    +---+---+---+---+--------+
    | 0 | 1 | 0 | 0 | 0      |
    +---+---+---+---+--------+
    | 0 | 1 | 0 | 1 | 0      |
    +---+---+---+---+--------+
    | 0 | 1 | 1 | 0 | 0      |
    +---+---+---+---+--------+
    | 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 | 0      |
    +---+---+---+---+--------+
    | 1 | 1 | 1 | 0 | 0      |
    +---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1      |
    +---+---+---+---+--------+
    FND [src]
    $$\left(x \wedge y \wedge z\right) \vee \left(y \wedge z \wedge \neg t\right)$$
    (x∧y∧z)∨(y∧z∧(¬t))
    FNCD [src]
    $$y \wedge z \wedge \left(x \vee \neg t\right)$$
    y∧z∧(x∨(¬t))
    FNC [src]
    Ya está reducido a FNC
    $$y \wedge z \wedge \left(x \vee \neg t\right)$$
    y∧z∧(x∨(¬t))
    FNDP [src]
    $$\left(x \wedge y \wedge z\right) \vee \left(y \wedge z \wedge \neg t\right)$$
    (x∧y∧z)∨(y∧z∧(¬t))