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<H1>binary search</H1>
<P>
(algorithm)

<P>
<strong>Definition:</strong>
An algorithm to search a <a href="sortedarray.html" tppabs="http://hissa.nist.gov/dads/HTML/sortedarray.html"><em>sorted array</em></a>.  It begins with an interval covering the whole array.  If the search value is less than the item in the middle of the interval, narrow the interval to the lower half.  Otherwise narrow it to the upper half.  Repeatedly check until the value is found or the interval is empty.
<P><strong>See also</strong>
<a href="interpolsrch.html" tppabs="http://hissa.nist.gov/dads/HTML/interpolsrch.html"><em>interpolation search</em></a>, <a href="fibonacsrch.html" tppabs="http://hissa.nist.gov/dads/HTML/fibonacsrch.html"><em>Fibonacci search</em></a>.
<P><em>Note:
Run time is <a href="bigOnotation.html" tppabs="http://hissa.nist.gov/dads/HTML/bigOnotation.html"><em>O(ln n)</em></a>.</em>
<P>Author: <a href="terms.html#authorPEB" tppabs="http://hissa.nist.gov/dads/terms.html#authorPEB">PEB</a>
<H2>Implementation</H2>
<a href="javascript:if(confirm('http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.dcc.uchile.cl/%7Eoalonso/handbook/algs/3/321.srch.c.html  \n\nThis file was not retrieved by Teleport Pro, because it is addressed on a domain or path outside the boundaries set for its Starting Address.  \n\nDo you want to open it from the server?'))window.location='http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.dcc.uchile.cl/%7Eoalonso/handbook/algs/3/321.srch.c.html'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.dcc.uchile.cl/%7Eoalonso/handbook/algs/3/321.srch.c.html">search (C)</a>
<H2>More information</H2>
<A HREF="javascript:if(confirm('http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.ee.uwa.edu.au/%7Eplsd210/ds/searching.html%23binary-search  \n\nThis file was not retrieved by Teleport Pro, because it is addressed on a domain or path outside the boundaries set for its Starting Address.  \n\nDo you want to open it from the server?'))window.location='http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.ee.uwa.edu.au/%7Eplsd210/ds/searching.html%23binary-search'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.ee.uwa.edu.au/%7Eplsd210/ds/searching.html%23binary-search">explanation</A> CAUTION: the C code has a bug: it should be  <pre> mid = (high + low) / 2 </pre> instead of <pre> mid = (high - low) / 2 </pre>

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Go to the
<A HREF="terms.html" tppabs="http://hissa.nist.gov/dads/terms.html">Algorithms, Data Structures, and Problems</A>
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If you have suggestions, corrections, or comments, please get in touch
with
<a href="javascript:if(confirm('http://hissa.nist.gov/~black/black.html  \n\nThis file was not retrieved by Teleport Pro, because it is addressed on a domain or path outside the boundaries set for its Starting Address.  \n\nDo you want to open it from the server?'))window.location='http://hissa.nist.gov/~black/black.html'" tppabs="http://hissa.nist.gov/~black/black.html">Paul E. Black</a>
&nbsp;(<a href="mailto:paul.black@nist.gov">paul.black@nist.gov</a>).

<p>
Entry modified Wed Sep  8 15:36:58 1999.<BR>
HTML page formatted Wed Dec 22 09:34:48 1999.

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