{"title":"正式的数字系统","authors":"A. Gabrielian","doi":"10.1109/ARITH.1975.6156984","DOIUrl":null,"url":null,"abstract":"A new system of numerals is introduced for representing numbers in base 2N for N≤8. The new notation greatly simplifies arithmetical operations on numbers. For examples for, N=3(4) one obtains a notation for octal (hexadecimal) numbers in which one can perform addition and multiplication much more easily than in the standard notation. For N=8 one obtains a practical way of representing numbers to the base 256. A simplification of the decimal notation is also presented.","PeriodicalId":360742,"journal":{"name":"1975 IEEE 3rd Symposium on Computer Arithmetic (ARITH)","volume":"10 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1975-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Formal systems of numerals\",\"authors\":\"A. Gabrielian\",\"doi\":\"10.1109/ARITH.1975.6156984\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A new system of numerals is introduced for representing numbers in base 2N for N≤8. The new notation greatly simplifies arithmetical operations on numbers. For examples for, N=3(4) one obtains a notation for octal (hexadecimal) numbers in which one can perform addition and multiplication much more easily than in the standard notation. For N=8 one obtains a practical way of representing numbers to the base 256. A simplification of the decimal notation is also presented.\",\"PeriodicalId\":360742,\"journal\":{\"name\":\"1975 IEEE 3rd Symposium on Computer Arithmetic (ARITH)\",\"volume\":\"10 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1975-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1975 IEEE 3rd Symposium on Computer Arithmetic (ARITH)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ARITH.1975.6156984\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"1975 IEEE 3rd Symposium on Computer Arithmetic (ARITH)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ARITH.1975.6156984","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A new system of numerals is introduced for representing numbers in base 2N for N≤8. The new notation greatly simplifies arithmetical operations on numbers. For examples for, N=3(4) one obtains a notation for octal (hexadecimal) numbers in which one can perform addition and multiplication much more easily than in the standard notation. For N=8 one obtains a practical way of representing numbers to the base 256. A simplification of the decimal notation is also presented.
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