Sr Examen

Expresión abVa¬C

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    Solución

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