Sr Examen

Expresión (A∧¬C)∨(¬A∧¬B)∨(B∨C)∨(¬A∧B)∨(C∧¬B)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

    Ha introducido [src]
    b∨c∨(a∧(¬c))∨(b∧(¬a))∨(c∧(¬b))∨((¬a)∧(¬b))
    bc(a¬c)(b¬a)(c¬b)(¬a¬b)b \vee c \vee \left(a \wedge \neg c\right) \vee \left(b \wedge \neg a\right) \vee \left(c \wedge \neg b\right) \vee \left(\neg a \wedge \neg b\right)
    Solución detallada
    bc(a¬c)(b¬a)(c¬b)(¬a¬b)=1b \vee c \vee \left(a \wedge \neg c\right) \vee \left(b \wedge \neg a\right) \vee \left(c \wedge \neg b\right) \vee \left(\neg a \wedge \neg b\right) = 1
    Simplificación [src]
    1
    1
    Tabla de verdad
    +---+---+---+--------+
    | a | b | c | result |
    +===+===+===+========+
    | 0 | 0 | 0 | 1      |
    +---+---+---+--------+
    | 0 | 0 | 1 | 1      |
    +---+---+---+--------+
    | 0 | 1 | 0 | 1      |
    +---+---+---+--------+
    | 0 | 1 | 1 | 1      |
    +---+---+---+--------+
    | 1 | 0 | 0 | 1      |
    +---+---+---+--------+
    | 1 | 0 | 1 | 1      |
    +---+---+---+--------+
    | 1 | 1 | 0 | 1      |
    +---+---+---+--------+
    | 1 | 1 | 1 | 1      |
    +---+---+---+--------+
    FNCD [src]
    1
    1
    FND [src]
    Ya está reducido a FND
    1
    1
    FNDP [src]
    1
    1
    FNC [src]
    Ya está reducido a FNC
    1
    1