Sr Examen
Lógica matemática/ a&c&bvav(bva)&(cvb)

Expresión a&c&bvav(bva)&(cvb)

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

    Ha introducido [src] 
    a∨(a∧b∧c)∨((a∨b)∧(b∨c))
    $$a \vee \left(\left(a \vee b\right) \wedge \left(b \vee c\right)\right) \vee \left(a \wedge b \wedge c\right)$$
    Solución detallada
    $$\left(a \vee b\right) \wedge \left(b \vee c\right) = b \vee \left(a \wedge c\right)$$
    $$a \vee \left(\left(a \vee b\right) \wedge \left(b \vee c\right)\right) \vee \left(a \wedge b \wedge c\right) = a \vee b$$
    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
    FNCD [src]
    $$a \vee b$$ 
    a∨b
    FNC [src]
    Ya está reducido a FNC
    $$a \vee b$$ 
    a∨b
    © Sr Examen – Калькулятор