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Lógica matemática/ bd`c

Expresión bd`c

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    Solución

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