Sr Examen

Expresión (avb)(avc)(bvd)(cvd)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

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