Problem 2244. Compute hamming distance between two binary vectors represented using lists of 1-byte numbers

Created by Ryszard Maciol

Solve Later

{"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","targetMode":"","relationshipId":"rId1","target":"/matlab/document.xml"},{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/output","targetMode":"","relationshipId":"rId2","target":"/matlab/output.xml"}],"parts":[{"partUri":"/matlab/document.xml","relationship":[],"contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n<w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Let v and u be vectors of the same size with 8-bit integers (0-255). We want to compute the number of bits where those vectors differs i.e. a</w:t></w:r><w:r><w:t> </w:t></w:r><w:hyperlink w:docLocation=\"http://en.wikipedia.org/wiki/Hamming_distance\"><w:r><w:t>Hamming distance</w:t></w:r></w:hyperlink><w:r><w:t> between vectors formed by concatenation of binary representations of those numbers. For example:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[v = [1 0]\nu = [1 255]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>Binary representations:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[v_bin = [00000001 00000000]\nu_bin = [00000001 11111111]]]></w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/></w:pPr><w:r><w:t>And the Hamming distance:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"code\"/></w:pPr><w:r><w:t><![CDATA[d = 0 + 8 = 8]]></w:t></w:r></w:p></w:body></w:document>"},{"partUri":"/matlab/output.xml","contentType":"text/xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\" ?><embeddedOutputs><metaData><evaluationState>manual</evaluationState><layoutState>code</layoutState><outputStatus>ready</outputStatus></metaData><outputArray type=\"array\"/><regionArray type=\"array\"/></embeddedOutputs>"}]}

Solve

Solution Stats

140 Solutions
39 Solvers

Last Solution submitted on Dec 12, 2022

Last 200 Solutions

Problem Comments

Problem Recent Solvers39

Problem Tags

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Problem 2244. Compute hamming distance between two binary vectors represented using lists of 1-byte numbers

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers39

Suggested Problems

More from this Author4

Problem Tags

Community Treasure Hunt

Problem 2244. Compute hamming distance between two binary vectors represented using lists of 1-byte numbers

Solution Stats

Last 200 Solutions

Problem Comments

Problem Recent Solvers39

Suggested Problems

More from this Author4

Problem Tags

Community Treasure Hunt

Players