https://wikimd.com/index.php?action=history&feed=atom&title=Boolean_algebraBoolean algebra - Revision history2026-04-05T12:48:27ZRevision history for this page on the wikiMediaWiki 1.44.2https://wikimd.com/index.php?title=Boolean_algebra&diff=6312088&oldid=prevPrab: CSV import2025-02-18T01:34:48Z<p>CSV import</p>
<table style="background-color: #fff; color: #202122;" data-mw="interface">
<col class="diff-marker" />
<col class="diff-content" />
<col class="diff-marker" />
<col class="diff-content" />
<tr class="diff-title" lang="en">
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td>
<td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 01:34, 18 February 2025</td>
</tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l32">Line 32:</td>
<td colspan="2" class="diff-lineno">Line 32:</td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div>{{math-stub}}</div></td><td class="diff-marker"></td><td style="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;"><div>{{math-stub}}</div></td></tr>
<tr><td class="diff-marker"></td><td style="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;"><div>{{compsci-stub}}</div></td><td class="diff-marker"></td><td style="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;"><div>{{compsci-stub}}</div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"><gallery></ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">File:Vennandornot.svg|Venn Diagram of Boolean Operations</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">File:LogicGates.svg|Logic Gates</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;">File:DeMorganGates.GIF|De Morgan's Theorems</ins></div></td></tr>
<tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="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;"><div><ins style="font-weight: bold; text-decoration: none;"></gallery></ins></div></td></tr>
</table>Prabhttps://wikimd.com/index.php?title=Boolean_algebra&diff=5352053&oldid=prevPrab: CSV import2024-03-03T15:08:12Z<p>CSV import</p>
<p><b>New page</b></p><div>'''Boolean algebra''' is a sub-discipline of [[mathematics]] and [[computer science]] that deals with operations on [[logical values]]. Named after [[George Boole]], a 19th-century mathematician and logician, Boolean algebra is fundamental to the design and operation of [[computer hardware]] and [[software]].<br />
<br />
== History ==<br />
<br />
Boolean algebra was introduced by George Boole in his first book ''The Mathematical Analysis of Logic'' (1847), and set forth more fully in his ''An Investigation of the Laws of Thought'' (1854). Boole's system was based on [[binary variables]] with two possible values, 0 and 1, and on the three basic operations, AND, OR, and NOT.<br />
<br />
== Basic operations ==<br />
<br />
Boolean algebra includes three basic operations:<br />
<br />
* '''AND''': The AND operation, also known as conjunction, takes two Boolean inputs and returns 1 if both inputs are 1, and 0 otherwise.<br />
* '''OR''': The OR operation, also known as disjunction, takes two Boolean inputs and returns 1 if at least one input is 1, and 0 otherwise.<br />
* '''NOT''': The NOT operation, also known as negation, takes a single Boolean input and returns the opposite value.<br />
<br />
== Properties ==<br />
<br />
Boolean algebra has many properties that are similar to other algebraic structures, such as [[commutativity]], [[associativity]], and [[distributivity]]. It also has additional properties that are unique to Boolean algebra, such as [[idempotency]], [[involution]], and the [[laws of De Morgan]].<br />
<br />
== Applications ==<br />
<br />
Boolean algebra is used extensively in computer science and electrical engineering. It is fundamental to the design of [[digital circuits]], including [[logic gates]], [[flip-flops]], and [[microprocessors]]. In software, Boolean algebra is used in the design of [[algorithms]], in [[programming languages]], and in [[database query languages]].<br />
<br />
== See also ==<br />
<br />
* [[Binary number]]<br />
* [[Logic gate]]<br />
* [[Truth table]]<br />
* [[De Morgan's laws]]<br />
<br />
[[Category:Mathematics]]<br />
[[Category:Computer science]]<br />
{{math-stub}}<br />
{{compsci-stub}}</div>Prab