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

Expresión (avb&c)&(a&b&c)v(a&b)

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

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