{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-06-05T00:10:21.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-06-05T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":1165,"title":"Convert double scalar to half-precision floating point (IEEE 754r)","description":"Use MATLAB to convert a scalar double into a half-precision floating point.  The return value should be a uint16.\r\n\r\nThe half-precision floating point format is specified here, and is the source for much of the test suite:\r\n\r\n\u003chttp://en.wikipedia.org/wiki/Half-precision_floating-point_format\u003e\r\n\r\nThis is an implementation in C if you want some inspiration to get started:\r\n\r\n\u003chttp://www.mathworks.com/matlabcentral/fileexchange/23173-ieee-754r-half-precision-floating-point-converter\u003e\r\n\r\nAs other problems related to half-precision are added, I will try to link them here.","description_html":"\u003cp\u003eUse MATLAB to convert a scalar double into a half-precision floating point.  The return value should be a uint16.\u003c/p\u003e\u003cp\u003eThe half-precision floating point format is specified here, and is the source for much of the test suite:\u003c/p\u003e\u003cp\u003e\u003ca href=\"http://en.wikipedia.org/wiki/Half-precision_floating-point_format\"\u003ehttp://en.wikipedia.org/wiki/Half-precision_floating-point_format\u003c/a\u003e\u003c/p\u003e\u003cp\u003eThis is an implementation in C if you want some inspiration to get started:\u003c/p\u003e\u003cp\u003e\u003ca href=\"http://www.mathworks.com/matlabcentral/fileexchange/23173-ieee-754r-half-precision-floating-point-converter\"\u003ehttp://www.mathworks.com/matlabcentral/fileexchange/23173-ieee-754r-half-precision-floating-point-converter\u003c/a\u003e\u003c/p\u003e\u003cp\u003eAs other problems related to half-precision are added, I will try to link them here.\u003c/p\u003e","function_template":"function H = double2half(D)\r\n  H = D;\r\nend","test_suite":"%%\r\nassert(double2half(2^(-24)) == uint16(1)) % Smallest number\r\n%%\r\nassert(double2half(2^(-25)) == uint16(1)) % Rounds up to smallest number\r\n%%\r\nassert(double2half(2^(-26)) == uint16(0)) % Rounds down to zero\r\n%%\r\nassert(bin2dec('0 01111 0000000000') == double2half(1))\r\n%%\r\nassert(bin2dec('0 01111 0000000001') == double2half(1 + 2^(-10)))\r\n%%\r\nassert(bin2dec('1 10000 0000000000') == double2half(-2))\r\n%%\r\nassert(bin2dec('0 11110 1111111111') == double2half(65504))\r\n%%\r\nassert(bin2dec('0 00001 0000000000') == double2half(2^(-14)))\r\n%%\r\nassert(bin2dec('0 00000 1111111111') == double2half(2^(-14) - 2^(-24)))\r\n%%\r\nassert(bin2dec('0 00000 0000000001') == double2half(2^(-24)))\r\n%%\r\nassert(bin2dec('0 00000 0000000000') == double2half(0))\r\n%%\r\nassert(bin2dec('1 00000 0000000000') == double2half(-0))\r\n%%\r\nassert(bin2dec('0 11111 0000000000') == double2half(inf))\r\n%%\r\nassert(bin2dec('1 11111 0000000000') == double2half(-inf))\r\n%%\r\nassert(bin2dec('0 01101 0101010101') == double2half(0.33325))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":8780,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":"2013-01-03T17:42:13.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-01-03T17:31:54.000Z","updated_at":"2026-05-26T15:37:30.000Z","published_at":"2013-01-03T17:42:13.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"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\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUse MATLAB to convert a scalar double into a half-precision floating point. The return value should be a uint16.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe half-precision floating point format is specified here, and is the source for much of the test suite:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"http://en.wikipedia.org/wiki/Half-precision_floating-point_format\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttp://en.wikipedia.org/wiki/Half-precision_floating-point_format\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis is an implementation in C if you want some inspiration to get started:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/fileexchange/23173-ieee-754r-half-precision-floating-point-converter\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttp://www.mathworks.com/matlabcentral/fileexchange/23173-ieee-754r-half-precision-floating-point-converter\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAs other problems related to half-precision are added, I will try to link them here.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"problem_search":{"problems":[{"id":1165,"title":"Convert double scalar to half-precision floating point (IEEE 754r)","description":"Use MATLAB to convert a scalar double into a half-precision floating point.  The return value should be a uint16.\r\n\r\nThe half-precision floating point format is specified here, and is the source for much of the test suite:\r\n\r\n\u003chttp://en.wikipedia.org/wiki/Half-precision_floating-point_format\u003e\r\n\r\nThis is an implementation in C if you want some inspiration to get started:\r\n\r\n\u003chttp://www.mathworks.com/matlabcentral/fileexchange/23173-ieee-754r-half-precision-floating-point-converter\u003e\r\n\r\nAs other problems related to half-precision are added, I will try to link them here.","description_html":"\u003cp\u003eUse MATLAB to convert a scalar double into a half-precision floating point.  The return value should be a uint16.\u003c/p\u003e\u003cp\u003eThe half-precision floating point format is specified here, and is the source for much of the test suite:\u003c/p\u003e\u003cp\u003e\u003ca href=\"http://en.wikipedia.org/wiki/Half-precision_floating-point_format\"\u003ehttp://en.wikipedia.org/wiki/Half-precision_floating-point_format\u003c/a\u003e\u003c/p\u003e\u003cp\u003eThis is an implementation in C if you want some inspiration to get started:\u003c/p\u003e\u003cp\u003e\u003ca href=\"http://www.mathworks.com/matlabcentral/fileexchange/23173-ieee-754r-half-precision-floating-point-converter\"\u003ehttp://www.mathworks.com/matlabcentral/fileexchange/23173-ieee-754r-half-precision-floating-point-converter\u003c/a\u003e\u003c/p\u003e\u003cp\u003eAs other problems related to half-precision are added, I will try to link them here.\u003c/p\u003e","function_template":"function H = double2half(D)\r\n  H = D;\r\nend","test_suite":"%%\r\nassert(double2half(2^(-24)) == uint16(1)) % Smallest number\r\n%%\r\nassert(double2half(2^(-25)) == uint16(1)) % Rounds up to smallest number\r\n%%\r\nassert(double2half(2^(-26)) == uint16(0)) % Rounds down to zero\r\n%%\r\nassert(bin2dec('0 01111 0000000000') == double2half(1))\r\n%%\r\nassert(bin2dec('0 01111 0000000001') == double2half(1 + 2^(-10)))\r\n%%\r\nassert(bin2dec('1 10000 0000000000') == double2half(-2))\r\n%%\r\nassert(bin2dec('0 11110 1111111111') == double2half(65504))\r\n%%\r\nassert(bin2dec('0 00001 0000000000') == double2half(2^(-14)))\r\n%%\r\nassert(bin2dec('0 00000 1111111111') == double2half(2^(-14) - 2^(-24)))\r\n%%\r\nassert(bin2dec('0 00000 0000000001') == double2half(2^(-24)))\r\n%%\r\nassert(bin2dec('0 00000 0000000000') == double2half(0))\r\n%%\r\nassert(bin2dec('1 00000 0000000000') == double2half(-0))\r\n%%\r\nassert(bin2dec('0 11111 0000000000') == double2half(inf))\r\n%%\r\nassert(bin2dec('1 11111 0000000000') == double2half(-inf))\r\n%%\r\nassert(bin2dec('0 01101 0101010101') == double2half(0.33325))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":3,"created_by":8780,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":8,"test_suite_updated_at":"2013-01-03T17:42:13.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2013-01-03T17:31:54.000Z","updated_at":"2026-05-26T15:37:30.000Z","published_at":"2013-01-03T17:42:13.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"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\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eUse MATLAB to convert a scalar double into a half-precision floating point. The return value should be a uint16.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe half-precision floating point format is specified here, and is the source for much of the test suite:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"http://en.wikipedia.org/wiki/Half-precision_floating-point_format\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttp://en.wikipedia.org/wiki/Half-precision_floating-point_format\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThis is an implementation in C if you want some inspiration to get started:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"http://www.mathworks.com/matlabcentral/fileexchange/23173-ieee-754r-half-precision-floating-point-converter\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehttp://www.mathworks.com/matlabcentral/fileexchange/23173-ieee-754r-half-precision-floating-point-converter\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAs other problems related to half-precision are added, I will try to link them here.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"errors":[],"facets":[[],[{"value":"hard","count":1,"selected":false}]],"term":"tag:\"half\"","page":1,"per_page":50,"sort":"map(difficulty_value,0,0,999) asc"}}