Sr Examen

Expresión не(неAнеB)V(Aab(неBab1)).

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

    Ha introducido [src]
    (a∧b∧b1∧(¬b))∨(¬((¬a)∧(¬b)))
    $$\left(a \wedge b \wedge b_{1} \wedge \neg b\right) \vee \neg \left(\neg a \wedge \neg b\right)$$
    Solución detallada
    $$a \wedge b \wedge b_{1} \wedge \neg b = \text{False}$$
    $$\neg \left(\neg a \wedge \neg b\right) = a \vee b$$
    $$\left(a \wedge b \wedge b_{1} \wedge \neg b\right) \vee \neg \left(\neg a \wedge \neg b\right) = a \vee b$$
    Simplificación [src]
    $$a \vee b$$
    a∨b
    Tabla de verdad
    +---+---+----+--------+
    | a | b | b1 | result |
    +===+===+====+========+
    | 0 | 0 | 0  | 0      |
    +---+---+----+--------+
    | 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]
    $$a \vee b$$
    a∨b
    FNC [src]
    Ya está reducido a FNC
    $$a \vee b$$
    a∨b
    FND [src]
    Ya está reducido a FND
    $$a \vee b$$
    a∨b
    FNCD [src]
    $$a \vee b$$
    a∨b