Sr Examen

Expresión (avb&c&g&x)&(cvg&x&d&f)&(bvc&d&f)&(gvx&w&d)&(wvd&f&x)&(fvd&x)

El profesor se sorprenderá mucho al ver tu solución correcta😉

    Solución

    Ha introducido [src]
    (f∨(d∧x))∧(b∨(c∧d∧f))∧(g∨(d∧w∧x))∧(w∨(d∧f∧x))∧(a∨(b∧c∧g∧x))∧(c∨(d∧f∧g∧x))
    $$\left(a \vee \left(b \wedge c \wedge g \wedge x\right)\right) \wedge \left(b \vee \left(c \wedge d \wedge f\right)\right) \wedge \left(c \vee \left(d \wedge f \wedge g \wedge x\right)\right) \wedge \left(f \vee \left(d \wedge x\right)\right) \wedge \left(g \vee \left(d \wedge w \wedge x\right)\right) \wedge \left(w \vee \left(d \wedge f \wedge x\right)\right)$$
    Solución detallada
    $$\left(a \vee \left(b \wedge c \wedge g \wedge x\right)\right) \wedge \left(b \vee \left(c \wedge d \wedge f\right)\right) \wedge \left(c \vee \left(d \wedge f \wedge g \wedge x\right)\right) \wedge \left(f \vee \left(d \wedge x\right)\right) \wedge \left(g \vee \left(d \wedge w \wedge x\right)\right) \wedge \left(w \vee \left(d \wedge f \wedge x\right)\right) = \left(a \vee b\right) \wedge \left(a \vee c\right) \wedge \left(a \vee g\right) \wedge \left(a \vee x\right) \wedge \left(b \vee c\right) \wedge \left(b \vee d\right) \wedge \left(b \vee f\right) \wedge \left(c \vee d\right) \wedge \left(c \vee f\right) \wedge \left(c \vee g\right) \wedge \left(c \vee x\right) \wedge \left(d \vee f\right) \wedge \left(d \vee g\right) \wedge \left(d \vee w\right) \wedge \left(f \vee w\right) \wedge \left(f \vee x\right) \wedge \left(g \vee w\right) \wedge \left(g \vee x\right) \wedge \left(w \vee x\right)$$
    Simplificación [src]
    $$\left(a \vee b\right) \wedge \left(a \vee c\right) \wedge \left(a \vee g\right) \wedge \left(a \vee x\right) \wedge \left(b \vee c\right) \wedge \left(b \vee d\right) \wedge \left(b \vee f\right) \wedge \left(c \vee d\right) \wedge \left(c \vee f\right) \wedge \left(c \vee g\right) \wedge \left(c \vee x\right) \wedge \left(d \vee f\right) \wedge \left(d \vee g\right) \wedge \left(d \vee w\right) \wedge \left(f \vee w\right) \wedge \left(f \vee x\right) \wedge \left(g \vee w\right) \wedge \left(g \vee x\right) \wedge \left(w \vee x\right)$$
    (a∨b)∧(a∨c)∧(a∨g)∧(a∨x)∧(b∨c)∧(b∨d)∧(b∨f)∧(c∨d)∧(c∨f)∧(c∨g)∧(c∨x)∧(d∨f)∧(d∨g)∧(d∨w)∧(f∨w)∧(f∨x)∧(g∨w)∧(g∨x)∧(w∨x)
    Tabla de verdad
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    FNDP [src]
    $$\left(a \wedge b \wedge c \wedge d \wedge w \wedge x\right) \vee \left(a \wedge b \wedge c \wedge f \wedge g \wedge w\right) \vee \left(a \wedge b \wedge d \wedge f \wedge g \wedge x\right) \vee \left(a \wedge c \wedge d \wedge f \wedge g \wedge w\right) \vee \left(a \wedge c \wedge d \wedge f \wedge g \wedge x\right) \vee \left(a \wedge c \wedge d \wedge f \wedge w \wedge x\right) \vee \left(b \wedge c \wedge d \wedge f \wedge g \wedge x\right) \vee \left(b \wedge c \wedge d \wedge g \wedge w \wedge x\right) \vee \left(b \wedge c \wedge f \wedge g \wedge w \wedge x\right)$$
    (a∧b∧c∧d∧w∧x)∨(a∧b∧c∧f∧g∧w)∨(a∧b∧d∧f∧g∧x)∨(a∧c∧d∧f∧g∧w)∨(a∧c∧d∧f∧g∧x)∨(a∧c∧d∧f∧w∧x)∨(b∧c∧d∧f∧g∧x)∨(b∧c∧d∧g∧w∧x)∨(b∧c∧f∧g∧w∧x)
    FNC [src]
    Ya está reducido a FNC
    $$\left(a \vee b\right) \wedge \left(a \vee c\right) \wedge \left(a \vee g\right) \wedge \left(a \vee x\right) \wedge \left(b \vee c\right) \wedge \left(b \vee d\right) \wedge \left(b \vee f\right) \wedge \left(c \vee d\right) \wedge \left(c \vee f\right) \wedge \left(c \vee g\right) \wedge \left(c \vee x\right) \wedge \left(d \vee f\right) \wedge \left(d \vee g\right) \wedge \left(d \vee w\right) \wedge \left(f \vee w\right) \wedge \left(f \vee x\right) \wedge \left(g \vee w\right) \wedge \left(g \vee x\right) \wedge \left(w \vee x\right)$$
    (a∨b)∧(a∨c)∧(a∨g)∧(a∨x)∧(b∨c)∧(b∨d)∧(b∨f)∧(c∨d)∧(c∨f)∧(c∨g)∧(c∨x)∧(d∨f)∧(d∨g)∧(d∨w)∧(f∨w)∧(f∨x)∧(g∨w)∧(g∨x)∧(w∨x)
    FNCD [src]
    $$\left(a \vee b\right) \wedge \left(a \vee c\right) \wedge \left(a \vee g\right) \wedge \left(a \vee x\right) \wedge \left(b \vee c\right) \wedge \left(b \vee d\right) \wedge \left(b \vee f\right) \wedge \left(c \vee d\right) \wedge \left(c \vee f\right) \wedge \left(c \vee g\right) \wedge \left(c \vee x\right) \wedge \left(d \vee f\right) \wedge \left(d \vee g\right) \wedge \left(d \vee w\right) \wedge \left(f \vee w\right) \wedge \left(f \vee x\right) \wedge \left(g \vee w\right) \wedge \left(g \vee x\right) \wedge \left(w \vee x\right)$$
    (a∨b)∧(a∨c)∧(a∨g)∧(a∨x)∧(b∨c)∧(b∨d)∧(b∨f)∧(c∨d)∧(c∨f)∧(c∨g)∧(c∨x)∧(d∨f)∧(d∨g)∧(d∨w)∧(f∨w)∧(f∨x)∧(g∨w)∧(g∨x)∧(w∨x)