Sr Examen
Lógica matemática/ avbv¬(b⊕с)

Expresión avbv¬(b⊕с)

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

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