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	<id>http://learn.cemetech.net/index.php?action=history&amp;feed=atom&amp;title=TI-BASIC%3AReal_Mode</id>
	<title>TI-BASIC:Real Mode - Revision history</title>
	<link rel="self" type="application/atom+xml" href="http://learn.cemetech.net/index.php?action=history&amp;feed=atom&amp;title=TI-BASIC%3AReal_Mode"/>
	<link rel="alternate" type="text/html" href="http://learn.cemetech.net/index.php?title=TI-BASIC:Real_Mode&amp;action=history"/>
	<updated>2026-04-30T02:29:12Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.43.3</generator>
	<entry>
		<id>http://learn.cemetech.net/index.php?title=TI-BASIC:Real_Mode&amp;diff=1518&amp;oldid=prev</id>
		<title>Maintenance script: Automated internal link correction</title>
		<link rel="alternate" type="text/html" href="http://learn.cemetech.net/index.php?title=TI-BASIC:Real_Mode&amp;diff=1518&amp;oldid=prev"/>
		<updated>2016-02-24T23:21:36Z</updated>

		<summary type="html">&lt;p&gt;Automated internal link correction&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 23:21, 24 February 2016&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l10&quot;&gt;Line 10:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 10:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;}}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The Real command puts the calculator in real number-only mode. This shouldn&#039;t be taken quite literally, as you can still type in &#039;&#039;i&#039;&#039; to get complex numbers, and do operations with them (they will be displayed as in [[TI-BASIC:&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;A+bi&lt;/del&gt;|A+bi]] mode, in that case). However, any operation done with &#039;&#039;&#039;real&#039;&#039;&#039; numbers that comes out to a complex result, such as taking the square root of a negative number, will throw a [[TI-BASIC:Errors#nonrealans|ERR:NONREAL ANS]] error.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The Real command puts the calculator in real number-only mode. This shouldn&#039;t be taken quite literally, as you can still type in &#039;&#039;i&#039;&#039; to get complex numbers, and do operations with them (they will be displayed as in [[TI-BASIC:&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;A_Bi&lt;/ins&gt;|A+bi]] mode, in that case). However, any operation done with &#039;&#039;&#039;real&#039;&#039;&#039; numbers that comes out to a complex result, such as taking the square root of a negative number, will throw a [[TI-BASIC:Errors#nonrealans|ERR:NONREAL ANS]] error.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;There is no real advantage to using Real mode over a+bi mode -- it just adds another error condition that wouldn&amp;#039;t be triggered otherwise. However, it is the default setting, and so there&amp;#039;s a good chance that the calculator will be in Real mode when someone runs your program. Thus, when using complex numbers implicitly (such as in a quadratic equation solver) you should do something about this.&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;There is no real advantage to using Real mode over a+bi mode -- it just adds another error condition that wouldn&amp;#039;t be triggered otherwise. However, it is the default setting, and so there&amp;#039;s a good chance that the calculator will be in Real mode when someone runs your program. Thus, when using complex numbers implicitly (such as in a quadratic equation solver) you should do something about this.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l27&quot;&gt;Line 27:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 27:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;= Related Commands =&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;= Related Commands =&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[TI-BASIC:&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;A+bi&lt;/del&gt;|A+bi]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[TI-BASIC:&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;A_Bi&lt;/ins&gt;|A+bi]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[TI-BASIC:Re_Thetai|re^θi]]&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [[TI-BASIC:Re_Thetai|re^θi]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Maintenance script</name></author>
	</entry>
	<entry>
		<id>http://learn.cemetech.net/index.php?title=TI-BASIC:Real_Mode&amp;diff=880&amp;oldid=prev</id>
		<title>Maintenance script: Initial automated import</title>
		<link rel="alternate" type="text/html" href="http://learn.cemetech.net/index.php?title=TI-BASIC:Real_Mode&amp;diff=880&amp;oldid=prev"/>
		<updated>2016-02-24T18:23:22Z</updated>

		<summary type="html">&lt;p&gt;Initial automated import&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Template:TI-BASIC:Command&lt;br /&gt;
|picture=REAL.GIF&lt;br /&gt;
|summary=Enables real number only mode.&lt;br /&gt;
|syntax=Real&lt;br /&gt;
|location=While editing a program, press:&lt;br /&gt;
# MODE to access the mode menu.&lt;br /&gt;
# Use arrows and ENTER to select Real.&lt;br /&gt;
|compatibility=TI-83/84/+/SE&lt;br /&gt;
|size=1 byte&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
The Real command puts the calculator in real number-only mode. This shouldn&amp;#039;t be taken quite literally, as you can still type in &amp;#039;&amp;#039;i&amp;#039;&amp;#039; to get complex numbers, and do operations with them (they will be displayed as in [[TI-BASIC:A+bi|A+bi]] mode, in that case). However, any operation done with &amp;#039;&amp;#039;&amp;#039;real&amp;#039;&amp;#039;&amp;#039; numbers that comes out to a complex result, such as taking the square root of a negative number, will throw a [[TI-BASIC:Errors#nonrealans|ERR:NONREAL ANS]] error.&lt;br /&gt;
&lt;br /&gt;
There is no real advantage to using Real mode over a+bi mode -- it just adds another error condition that wouldn&amp;#039;t be triggered otherwise. However, it is the default setting, and so there&amp;#039;s a good chance that the calculator will be in Real mode when someone runs your program. Thus, when using complex numbers implicitly (such as in a quadratic equation solver) you should do something about this.&lt;br /&gt;
&lt;br /&gt;
= Advanced Uses =&lt;br /&gt;
&lt;br /&gt;
Rather than switch to a+bi mode, you might want to force the calculations to use complex numbers by making the original argument complex. The general way to do this is by adding +0i to the number. However, there may be an optimization in any particular case. See the [[TI-BASIC:Quadratic_Formula|Quadratic_Formula]] routine for a good example of this.&lt;br /&gt;
&lt;br /&gt;
 Real&lt;br /&gt;
 		Done&lt;br /&gt;
 √(-1)	&lt;br /&gt;
 		(causes an error)&lt;br /&gt;
 √(-1+0i)		&lt;br /&gt;
 		i&lt;br /&gt;
&lt;br /&gt;
= Related Commands =&lt;br /&gt;
&lt;br /&gt;
* [[TI-BASIC:A+bi|A+bi]]&lt;br /&gt;
* [[TI-BASIC:Re_Thetai|re^θi]]&lt;br /&gt;
&lt;br /&gt;
= See Also =&lt;br /&gt;
&lt;br /&gt;
* [[TI-BASIC:Quadratic_Formula|Quadratic_Formula]][[Category:TI-BASIC]]&lt;br /&gt;
[[Category:TIBD]]&lt;/div&gt;</summary>
		<author><name>Maintenance script</name></author>
	</entry>
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