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Lógica matemática/ f*b+f*!b*c+!b*f*!c+f*!c

Expresión f*b+f*!b*c+!b*f*!c+f*!c

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    Solución

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