Sr Examen
Lógica matemática/ ¬(avbvcvd)

Expresión ¬(avbvcvd)

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

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