uni/slides/223015b/assets/demos/kb-vs-kib.html

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<title>1 TB verkauft, 931 GB angezeigt — wo gehen die 69 GB hin?</title>
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  <h1>„1 TB" gekauft — 931 GB im Finder. Wo sind die 69 GB hin?</h1>
  <div class="sub">Nirgendwo. Es sind <strong>dieselben Byte</strong>. Nur zwei Welten zählen anders.</div>

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    <div class="side marketing">
      <div class="side-tag">Auf der Verpackung</div>
      <div class="side-name">Marketing</div>
      <div class="label-mock">
        <span class="big">1 TB</span>
        <span class="small-line">externe SSD</span>
      </div>
      <div class="formel">
        1 TB = <strong>10<sup>12</sup></strong> Byte<br>
        = 1 000 000 000 000
      </div>
    </div>

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      <svg viewBox="0 0 60 30" width="56" height="30"><path d="M5,15 L48,15 M42,7 L52,15 L42,23" stroke="#d63384" stroke-width="2.5" fill="none"/></svg>
      <div class="why">geteilt durch<br>2<sup>30</sup></div>
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    <div class="side os">
      <div class="side-tag">Im Finder · Explorer</div>
      <div class="side-name">Betriebssystem</div>
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        <span class="big">931 GB</span>
        <span class="small-line">eigentlich: 931 GiB</span>
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      <div class="formel">
        1 GiB = <strong>2<sup>30</sup></strong> Byte<br>
        = 1 073 741 824
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    <div class="math-box-head">Die Rechnung</div>
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      <span class="key">Marketing schreibt</span>
      <span class="val">1 TB = 1 000 000 000 000 Byte (Basis 10)</span>
      <span class="key">Betriebssystem rechnet</span>
      <span class="val">1 TiB = 1 099 511 627 776 Byte (Basis 2)</span>
      <span class="key">1 TB in GiB umrechnen</span>
      <span class="val hl">10<sup>12</sup> ÷ 2<sup>30</sup> ≈ 931,3 GiB — der Finder zeigt also „931 GB"</span>
      <span class="key">Was die Studis sehen</span>
      <span class="val">Etikett: GB · Anzeige: GB · Bedeutung: zwei verschiedene Dinge</span>
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  <div class="verdict">
    <div class="verdict-q">Es fehlt nichts. Es wird nur in zwei Sprachen gezählt.</div>
    <div class="verdict-a">Korrekt wären <code>GiB</code> (binär, 1024) und <code>GB</code> (dezimal, 1000). In der Realität verwenden beide Welten <code>GB</code> und meinen verschiedene Zahlen.</div>
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