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		<title>Metode Numerik Bilangan Titik &#8211; Kambang</title>
		<link>https://ramzilhuda.com/metode-numerik-bilangan-titik-kambang/</link>
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		<pubDate>Wed, 01 Apr 2020 07:24:19 +0000</pubDate>
				<category><![CDATA[Metode Numerik]]></category>
		<category><![CDATA[bilangan]]></category>
		<category><![CDATA[metode numerik]]></category>
		<category><![CDATA[titik kambang]]></category>
		<guid isPermaLink="false">https://ramzilhuda.com/?p=253</guid>

					<description><![CDATA[Bilangan titik kambang pada metode numerik di dalam komputer, bilangan riil umumnya disajikan dalam format bilangan titik-kambang Bilangan titik-kambang a ditulis sebagai : Dimana : m = mantisa (riil), dengan d1d2d3d4&#8230;dn adalah digit atau bit mantisa yang nilainya dari 0 sampai dengan B – 1 dan n adalah panjang digit (bit) mantisa B = basis [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>Bilangan titik kambang pada <a href="https://ramzilhuda.com/metode-numerik-integrasi-numerik/">metode numerik</a> di dalam komputer, bilangan riil umumnya disajikan dalam format bilangan titik-kambang Bilangan titik-kambang a ditulis sebagai :</p>
<p><img data-recalc-dims="1" decoding="async" class="aligncenter wp-image-254 size-full" src="https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-1.jpg?resize=433%2C65&#038;ssl=1" alt="" width="433" height="65" srcset="https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-1.jpg?w=433&amp;ssl=1 433w, https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-1.jpg?resize=300%2C45&amp;ssl=1 300w" sizes="(max-width: 433px) 100vw, 433px" /></p>
<p>Dimana :<br />
m = mantisa (riil), dengan d1d2d3d4&#8230;dn adalah digit atau bit mantisa yang nilainya dari 0 sampai dengan B – 1 dan n adalah panjang digit (bit) mantisa<br />
B = basis sistem bilangan yang dipakai (2, 8, 10, 16 dsb)<br />
p = pangkat (berupa bilangan bulat), nilainya –Pmin sampai +Pmaks</p>
<p><img data-recalc-dims="1" fetchpriority="high" decoding="async" class="aligncenter wp-image-255 size-full" src="https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-2.jpg?resize=585%2C108&#038;ssl=1" alt="" width="585" height="108" srcset="https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-2.jpg?w=585&amp;ssl=1 585w, https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-2.jpg?resize=300%2C55&amp;ssl=1 300w" sizes="(max-width: 585px) 100vw, 585px" /></p>
<p>Bagi teman &#8211; teman yang belum terlalu paham apa itu bilangan titik kambang dapat menonton video berikut <a href="https://www.youtube.com/watch?v=Im5XlkVj-Gk">ini</a></p>
<h2><b>Bilangan Titik-Kambang Ternormalisasi</b></h2>
<p>Representasi bilangan titik-kambang beragam, misalnya 245.7654 dapat ditulis sebagai :</p>
<p><img data-recalc-dims="1" decoding="async" class="aligncenter size-medium wp-image-256" src="https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-3.jpg?resize=300%2C71&#038;ssl=1" alt="" width="300" height="71" srcset="https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-3.jpg?resize=300%2C71&amp;ssl=1 300w, https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-3.jpg?w=353&amp;ssl=1 353w" sizes="(max-width: 300px) 100vw, 300px" /></p>
<p>Normalisasi format bilangan titik-kambang di komputer semua digit mantisa selalu berupa angka bena, sehingga digit pertama mantisa ( d1 ) tidak boleh nol.</p>
<p><img data-recalc-dims="1" loading="lazy" decoding="async" class="aligncenter wp-image-257 size-full" src="https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-4.jpg?resize=639%2C197&#038;ssl=1" alt="" width="639" height="197" srcset="https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-4.jpg?w=639&amp;ssl=1 639w, https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-4.jpg?resize=300%2C92&amp;ssl=1 300w" sizes="auto, (max-width: 639px) 100vw, 639px" /></p>
<h2><b>Pembulatan pada Bilangan Titik-Kambang</b></h2>
<ol>
<li><b> Pemenggalan (</b><b><i>chopping</i></b><b>)</b></li>
</ol>
<p>Misalkan <i>a</i> adalah bilangan titik-kambang dalam basis 10 :</p>
<p><i>a </i>= ±0.<i>d</i><i>1</i><i>d</i><i>2</i><i>d</i><i>3</i><i> &#8230;d</i><i>n</i><i>d</i><i>n+1</i><i>&#8230; </i>x 10<i>p</i></p>
<p>Misalkan <i>n</i> adalah banyak digit mantis komputer, karena digit mantis <i>a</i> lebih banyak dari digit mantis komputer, maka bilangan <i>a</i> dipotong sampai <i>n </i>digit saja :</p>
<p><i>fl</i><i>chop</i> (<i>a</i>) = ±0.<i>d</i><i>1</i><i>d</i><i>2</i><i>d</i><i>3</i><i> &#8230;d</i><i>n-1</i><i>d</i><i>n</i> x 10<i>p</i></p>
<p><img data-recalc-dims="1" loading="lazy" decoding="async" class="aligncenter wp-image-258 size-full" src="https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-5.jpg?resize=603%2C163&#038;ssl=1" alt="" width="603" height="163" srcset="https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-5.jpg?w=603&amp;ssl=1 603w, https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-5.jpg?resize=300%2C81&amp;ssl=1 300w, https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-5.jpg?resize=600%2C163&amp;ssl=1 600w" sizes="auto, (max-width: 603px) 100vw, 603px" /></p>
<p>&nbsp;</p>
<ol start="2">
<li><b> Pembulatan ke digit terdekat (</b><b><i>in-rounding</i></b><b>)</b></li>
</ol>
<p>Misalkan <i>a</i> adalah bilangan titik-kambang dalam basis 10 :</p>
<p><i>a </i>= ±0.<i>d</i><i>1</i><i>d</i><i>2</i><i>d</i><i>3</i><i> &#8230;d</i><i>n</i><i>d</i><i>n+1</i><i>&#8230; </i>x 10<i>p</i></p>
<p>Misalkan <i>n</i> adalah banyak digit mantis komputer, karena digit mantis <i>a</i> lebih banyak dari digit mantis komputer, maka bilangan <i>a</i> dipotong sampai <i>n </i>digit saja :</p>
<p><img data-recalc-dims="1" loading="lazy" decoding="async" class="aligncenter wp-image-259 size-full" src="https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-6.jpg?resize=605%2C253&#038;ssl=1" alt="" width="605" height="253" srcset="https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-6.jpg?w=605&amp;ssl=1 605w, https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-6.jpg?resize=300%2C125&amp;ssl=1 300w" sizes="auto, (max-width: 605px) 100vw, 605px" /></p>
<p><img data-recalc-dims="1" loading="lazy" decoding="async" class="aligncenter wp-image-260 size-full" src="https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-7.jpg?resize=625%2C433&#038;ssl=1" alt="" width="625" height="433" srcset="https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-7.jpg?w=625&amp;ssl=1 625w, https://i0.wp.com/ramzilhuda.com/wp-content/uploads/2020/04/titik-kambang-7.jpg?resize=300%2C208&amp;ssl=1 300w" sizes="auto, (max-width: 625px) 100vw, 625px" /></p>
<p>Untuk materi metode numerik selanjutnya kita akan mempelajari tentang <a href="https://ramzilhuda.com/metode-numerik-metode-biseksi-dan-regular-falsi-part-1/">Metode Numerik Metode Biseksi dan Regular Falsi Part 1</a></p>
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