Sr Examen

Expresión notA+notB*C*notD

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    Solución

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