Sr Examen
Lógica matemática/ (avb)&(¬a&¬bvc)v¬c&(avb)

Expresión (avb)&(¬a&¬bvc)v¬c&(avb)

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

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