Sr Examen
Lógica matemática/ ¬(avb)&(avb)vc

Expresión ¬(avb)&(avb)vc

El profesor se sorprenderá mucho al ver tu solución correcta😉

⌨

    Solución

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