{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,27]],"date-time":"2025-09-27T13:54:58Z","timestamp":1758981298569},"reference-count":29,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[1973,6,1]],"date-time":"1973-06-01T00:00:00Z","timestamp":107740800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Comput."],"published-print":{"date-parts":[[1973,6]]},"DOI":"10.1109\/tc.1973.5009113","type":"journal-article","created":{"date-parts":[[2009,6,2]],"date-time":"2009-06-02T16:36:47Z","timestamp":1243960607000},"page":"601-607","source":"Crossref","is-referenced-by-count":28,"title":["On the Precision Attainable with Various Floating-Point Number Systems"],"prefix":"10.1109","volume":"C-22","author":[{"given":"Richard P.","family":"Brent","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"263","reference":[{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1145\/363067.363112"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1970.tb04281.x"},{"key":"ref12","first-page":"50","author":"henrici","year":"1962","journal-title":"Discrete Variable Methods in Ordinary Differential Equations"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1145\/365696.365698"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1145\/365170.365212"},{"key":"ref15","author":"kahan","year":"1970","journal-title":"What is the best base for floating-point arithmetic? Is binary best?"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1145\/321607.321613"},{"key":"ref17","first-page":"218","volume":"2","author":"knuth","year":"1969","journal-title":"The art of computer programming"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1145\/357980.358012"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/BF02161841"},{"key":"ref28","author":"wilkinson","year":"1963","journal-title":"Rounding Errors in Algebraic Processes"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/BF02166681"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TAU.1969.1162049"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1145\/321623.321629"},{"key":"ref6","first-page":"57","volume":"5","author":"burks","year":"1963","journal-title":"Collected Works of John von Neumann"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1145\/363235.363240"},{"key":"ref29","author":"wilkinson","year":"1965","journal-title":"The Algebraic Eigenvalue Problem"},{"key":"ref8","first-page":"598","author":"cody","year":"0","journal-title":"Static and dynamic numerical characteristics of floating-point arithmetic"},{"key":"ref7","author":"cody","year":"1970","journal-title":"Desirable hardware characteristics for scientific computation"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/T-C.1970.223022"},{"key":"ref9","author":"feller","year":"1950","journal-title":"An Introduction to Probability Theory and Its Applications"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1147\/rd.111.0034"},{"key":"ref20","doi-asserted-by":"crossref","first-page":"681","DOI":"10.1109\/T-C.1970.223017","article-title":"a formalization of floating-point numeric base conversion","volume":"c 19","author":"matula","year":"1970","journal-title":"IEEE Transactions on Computers"},{"key":"ref22","doi-asserted-by":"crossref","first-page":"1578","DOI":"10.1109\/T-C.1971.223174","article-title":"tapered floating point: a new floating-point representation","volume":"c 20","author":"morris","year":"1971","journal-title":"IEEE Transactions on Computers"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1109\/PGEC.1967.264781"},{"key":"ref24","author":"richman","year":"1967","journal-title":"Floating-point number representations Base choice versus exponent range"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-1971-0300488-0"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1137\/0705017"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/BF01934204"}],"container-title":["IEEE Transactions on Computers"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/12\/5009100\/05009113.pdf?arnumber=5009113","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,11,29]],"date-time":"2021-11-29T15:39:21Z","timestamp":1638200361000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/5009113\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1973,6]]},"references-count":29,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/tc.1973.5009113","relation":{},"ISSN":["0018-9340"],"issn-type":[{"value":"0018-9340","type":"print"}],"subject":[],"published":{"date-parts":[[1973,6]]}}}