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Binary search

In computer science, binary search, also known as half-interval search, logarithmic search, or binary chop, is a search algorithm that finds the position of a target value within a sorted array. Binary search compares the target value to the middle element of the array. If they are not equal, the half in which the target cannot lie is eliminated and the…

History & Science

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Average performance
O(log n)
Best-case performance
O(1)
Class
Search algorithm
Data structure
Array
Optimal
Yes
Worst-case performance
O(log n)

Topics to explore

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Overview

Algorithm

Performance

Binary search versus other schemes

Variations

History

Implementation issues

Library support

Notes and references

Advanced semantic analysis

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Map overview Semantic statistics

Binary search

Nodes144
Edges143
Triples186
Avg. degree1.99
Density0.013889
Components1

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Binary search

Top relations

related to Library support · 22
Binary search → ALLverb, An, Apple's Core Foundation, Array's, COBOL, Cocoa, D's, For Objective-C, Go'ssortstandard, Java, Mac OS, Many, Microsoft's, NET Framework, NSArray-indexOfObject, Phobos, Python, Ruby's Array, Rust's, SearchFloat64s
related to history · 21
Binary search → Aegean Islands, ALGOL, Babylon, BCE, Bernard Chazelle, Catholicon, CE, Chandra, Derrick Henry Lehmer, Every, Guibas, Hermann Bottenbruch, In, Inakibit-Anu, John Mauchly, Latin, Leonidas, Moore School Lectures, Stanford University, The
related to Notes and references · 16
Binary search → Anthony Lin, Binary, CC-BY-SA-3, ISSN, July, Lock-gray-alt-2, Lock-green, Lock-red-alt-2, PDF, Science, The, This, Wikidata Q81434400, WikiJournal, Wikipedia, Wikisource-logo
related to Approximate matches · 9
Binary search → For, However, If, Once, Predecessor, Range, Rank, The, This
related to Set membership algorithms · 9
Binary search → Any, Bit, Bloom, For, However, It, Judy, The Judy1, There
related to Other data structures · 7
Binary search → As, Emde Boas, For, Judy, Some, There, These
related to External links · 6
Binary search → Algorithms, Archived, Data Structures, NIST Dictionary, September, Wayback Machine
related to Implementation issues · 6
Binary search → Bentley, Bentley's, Donald Knuth When Jon, Furthermore, Programming Pearls, The Java
related to Noisy binary search · 6
Binary search → Every, For, Noisy, Rényi-Ulam, The, Twenty Questions
related to Quantum binary search · 6
Binary search → Any, Classical, Grover's, In, Quantum, There

Important terminology Word statistics

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Important terminology

search binary displaystyle element array target value arrays set elements case algorithm log average sorted number middle data algorithms iterations

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Binary searchAverage performanceO(log n)1.00infobox
Binary searchBest-case performanceO(1)1.00infobox
Binary searchClassSearch algorithm1.00infobox
Binary searchData structureArray1.00infobox
Binary searchOptimalYes1.00infobox
Binary searchWorst-case performanceO(log n)1.00infobox
Binary searchWorst-case space complexityO(1)1.00infobox
Binary searchis aoptimal algorithm for searching with comparisons0.90text
finding the smallestinstance ofThere are operations0.80text
largest element that can be done efficiently on a sorted array but not on an unsorted array.TreesA binary search tree is a binary tree data structure that works based on the principle of binary searchinstance ofThere are operations0.80text
databasesinstance ofB-trees are frequently used to organize long-term storage0.80text
filesystems.HashingFor implementing associative arraysinstance ofB-trees are frequently used to organize long-term storage0.80text

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