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<page xmlns="http://projectmallard.org/1.0/" type="guide" id="boolean" lang="de">

    <info>
        <link type="guide" xref="index#equation"/>
    <credit type="translator copyright"><name>Jan Arne Petersen</name><email>jap@gnome.org</email><years>2007</years></credit><credit type="translator copyright"><name>Christian Kirbach</name><email>Christian.Kirbach@googlemail.com</email><years>2008,2009,2010,2014,2015,2017,2021,2024,2025</years></credit><credit type="translator copyright"><name>Mario Blättermann</name><email>mario.blaettermann@gmail.com</email><years>2012, 2013, 2020</years></credit><credit type="translator copyright"><name>Jakob Kramer</name><email>jakob.kramer@gmx.de</email><years>2010</years></credit><credit type="translator copyright"><name>Tim Sabsch</name><email>tim@sabsch.com</email><years>2018</years></credit><credit type="translator copyright"><name>Jürgen Benvenuti</name><email>gastornis@posteo.org</email><years>2023</years></credit></info>

    <title>Bitweise Operationen</title>

    <p>
    Bitwise operations can be calculated using the following operators.
    </p>
    <p>
    The result of some operations depend on the word size.
    To set the word size, press the menu button in the top-right corner of the
    window and select <gui style="menuitem">Preferences</gui>.
    </p>
    <p>
    Buttons for the following symbols and to set the word size are available in <link xref="mode-programming">programming mode</link>.
    </p>

    <p>
    Bitwise conjunction can be calculated using the ∧ or AND operators.
    </p>
    <example>
    <p>
    010011₂ ∧ 110101₂
    </p>
    <p>010011₂ UND 110101₂</p>
    </example>

    <p>
    Bitwise disjunction can be calculated using the ∨ or OR operators.
    </p>
    <example>
    <p>
    010011₂ ∨ 110101₂
    </p>
    <p>
    010011₂ OR 110101₂
    </p>
    </example>

    <p>
    Bitwise exclusive disjunction can be calculated using the ⊻, ⊕ or XOR operators.
    </p>
    <example>
    <p>
    010011₂ ⊻ 110101₂
    </p>
    <p>
    010011₂ XOR 110101₂
    </p>
    </example>

    <p>
    Bitwise complement for the set word size can be calculated using the ¬, ~ or NOT operators.
    </p>
    <example>
    <p>
    ¬ 010011₂
    </p>
    <p>NICHT 010011₂</p>
    </example>

    <p>
    Bitwise alternative denial for the set word size can be calculated using the ⊼ or NAND operators.
    </p>
    <example>
    <p>
    010011₂ ⊼ 110101₂
    </p>
    <p>
    010011₂ NAND 110101₂
    </p>
    </example>

    <p>
    Bitwise joint denial for the set word size can be calculated using the ⊽ or NOR operators.
    </p>
    <example>
    <p>
    010011₂ ⊽ 110101₂
    </p>
    <p>
    010011₂ NOR 110101₂
    </p>
    </example>

    <p>
    Bitwise biconditional for the set word size can be calculated using the ⊙, XNOR or NXOR operators.
    </p>
    <example>
    <p>
    010011₂ ⊙ 110101₂
    </p>
    <p>
    010011₂ XNOR 110101₂
    </p>
    </example>
</page>
