Sr Examen
Lógica matemática/ не(АиВиС)

Expresión не(АиВиС)

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

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