已知某符号的编码为“0100101”,若增加一个偶校验位,则其编码变为()。
- A.10100101
- B.00100101
- C.10100011
- D.01010101
正确答案及解析
正确答案
解析
奇偶校验码是奇校验码和偶校验码的统称,是一种最基本的检错码。它是由n-1位信息码和1位校验码组成,可以表示成为(n,n-1)。如果是奇校验码,在附加上一个校验码以后,码长为n的码字中“1”的个数为奇数个;如果是偶校验码,在附加上一个校验码以后,码长为n的码字中“1”的个数为偶数个。根据奇偶校验的定义,偶校验即增加校验位后,该编码各位上1的个数刚好是偶数。最后将校验位添加到编码的最高位。题中通过观察,偶校验位应该为1,将1添加到编码最高位后,最后得到的编码为:10100101。
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