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首页> 外文期刊>Electronic Computers, IEEE Transactions on >Error Detecting and Correcting Binary Codes for Arithmetic Operations
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Error Detecting and Correcting Binary Codes for Arithmetic Operations

机译：用于算术运算的错误检测和纠正二进制代码

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摘要

The most important property of the codes derived in this paper is that two numbers, i and j, have coded forms, C(i) and C(j) that when added in a conventional binary adder, give a sum C(i)+C(j) that differs from C(i+j), the code for the sum, by (at most) an additive constant. This makes possible the detection and/or correction of errors committed by the arithmetic element of a computer. In addition, messages can be coded and decoded and errors can be detected and corrected by arithmetic procedures, making it possible to elininate some or all of the special-purpose equipment usually associated with error-detecting or correcting codes. This property may make these codes useful for data transmission as well as for computation.
机译：本文得出的代码最重要的特性是，两个数字i和j的编码形式为C（i）和C（j），在传统的二进制加法器中相加后得出的总和为C（i）+ C（j）与C（i + j）不同，C（i + j）相加的代码最多（最多）一个加法常数。这使得可以检测和/或校正由计算机的算术元件引起的错误。此外，可以对消息进行编码和解码，并可以通过算术程序检测和纠正错误，从而可以消除通常与错误检测或纠正代码相关的某些或所有专用设备。此属性可能使这些代码可用于数据传输和计算。

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