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Lógica matemática/ dand(aorborc)

Expresión dand(aorborc)

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    Solución

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