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Lógica matemática/ dand(NOTaOR(bANDa))

Expresión dand(NOTaOR(bANDa))

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    Solución

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