Sr Examen

Expresión a^bv¬a^bva^¬cvc^avb

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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