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Expresión aandbandcanddandeandrandqanduandiandnandpandx

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    Solución

    Ha introducido [src]
    a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧x
    $$a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge x$$
    Simplificación [src]
    $$a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge x$$
    a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧x
    Tabla de verdad
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    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0      |
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    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 1 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 0 | 0      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1      |
    +---+---+---+---+---+---+---+---+---+---+---+---+--------+
    FNDP [src]
    $$a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge x$$
    a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧x
    FNC [src]
    Ya está reducido a FNC
    $$a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge x$$
    a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧x
    FNCD [src]
    $$a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge x$$
    a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧x
    FND [src]
    Ya está reducido a FND
    $$a \wedge b \wedge c \wedge d \wedge e \wedge i \wedge n \wedge p \wedge q \wedge r \wedge u \wedge x$$
    a∧b∧c∧d∧e∧i∧n∧p∧q∧r∧u∧x