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50 lines
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<!--replace-end-7--><!--replace-end-4--><!--replace-end-1--></head><body><div class="ui fluid container universe"><!--replace-start-2--><!--replace-start-3--><!--replace-start-6--><div class="ui text container" id="zettel-container" style="position: relative"><div class="zettel-view"><article class="ui raised attached segment zettel-content"><div class="pandoc"><h1 id="title-h1">Signed magnitude representation</h1><h2 id="summary">Summary</h2><h2 id="detail">Detail</h2><p>The concept behind SMR is similar to how we designate positive and negative integers in denary mathematics: we use a dedicated symbol (<code>-</code>) to signpost that the integer is negative. In the binary application the dedicated symbol is one of the binary digits that comprise the number.</p><p>Typically <code>0</code> is used to indicate an unsigned (positive) integer and <code>1</code> to indicate a signed (negative) number. The rest of the bits are the magnitude (the actual numerical value).</p><p>We can demonstrate with an 8-bit binary system, encoding <code>5</code>: <code>0000 0101</code>. Here the furthest bit (aka. the “most significant bit” (MSB)) at the <span class="math inline">\(2^8\)</span> position is <code>0</code>, designating that the number is unsigned. The signed equivalent is <code>1000 0101</code>, with the MSB being <code>1</code> designating the number as signed. When we are working with signed numbers, the MSB is known as the <strong>signed bit</strong>.</p><h3 id="advantages">Advantages</h3><h3 id="limitations">Limitations</h3><h2 id="applications">Applications</h2><h2 id="related-notes">Related notes</h2><p><span class="zettel-link-container cf"><span class="zettel-link" title="Zettel: Signed and unsigned numbers"><a href="Signed_and_unsigned_numbers.html">signed_and_unsigned_numbers</a></span></span></p></div></article><nav class="ui attached segment deemphasized backlinksPane" id="neuron-backlinks-pane"><h3 class="ui header">Backlinks</h3><ul class="backlinks"><li><span class="zettel-link-container cf"><span class="zettel-link"><a href="Twos_complement.html">Two’s complement</a></span></span><ul class="context-list" style="zoom: 85%;"><li class="item"><div class="pandoc"><p><span class="zettel-link-container cf"><span class="zettel-link" title="Zettel: Signed and unsigned numbers"><a href="Signed_and_unsigned_numbers.html">signed_and_unsigned_numbers</a></span></span>, <span class="zettel-link-container cf"><span class="zettel-link" title="Zettel: Binary addition"><a href="Binary_addition.html">binary addition</a></span></span>, <span class="zettel-link-container cf"><span class="zettel-link"><a href="Signed_magnitude_representation.html">Signed magnitude representation</a></span></span></p></div></li></ul></li><li><span class="zettel-link-container cf"><span class="zettel-link"><a href="Signed_and_unsigned_numbers.html">Signed and unsigned numbers</a></span></span><ul class="context-list" style="zoom: 85%;"><li class="item"><div class="pandoc"><p><span class="zettel-link-container cf"><span class="zettel-link"><a href="Twos_complement.html">Two’s complement</a></span></span>, <span class="zettel-link-container cf"><span class="zettel-link"><a href="Binary_encoding.html">Binary encoding</a></span></span>, <span class="zettel-link-container cf"><span class="zettel-link"><a href="Signed_magnitude_representation.html">Signed magnitude representation</a></span></span></p></div></li></ul></li></ul></nav><nav class="ui attached segment deemphasized bottomPane" id="neuron-tags-pane"><div><span class="ui basic label zettel-tag" title="Tag">binary</span></div></nav><nav class="ui bottom attached icon compact inverted menu blue" id="neuron-nav-bar"><!--replace-start-9--><!--replace-end-9--><a class="right item" href="impulse.html" title="Open Impulse"><i class="wave square icon"></i></a></nav></div></div><!--replace-end-6--><!--replace-end-3--><!--replace-end-2--><div class="ui center aligned container footer-version"><div class="ui tiny image"><a href="https://neuron.zettel.page"><img alt="logo" src="https://raw.githubuse
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