Consider CRC error checking approach, the four bit generator G is 1011, and suppose that the data D is 10101010, then the value of R is
时间: 2024-03-15 12:47:52 浏览: 14
To calculate the CRC value, we need to perform polynomial division. We append 3 zeros (the degree of the generator polynomial minus 1) to the data to form the dividend:
```
10101010000 | 1011
```
We perform division as follows:
```
1
-------
1011 | 10101010000
1011
------
1010
1011
----
1100
1011
----
110
```
The remainder is 110 (3 bits), which is the CRC value. We append it to the original data to form the transmitted message:
```
10101010110
```
To check for errors, we divide the received message (assuming it has been corrupted during transmission) by the generator polynomial. If the remainder is zero, there are no errors. Otherwise, there is at least one error.
Note: This example uses the standard CRC-4 generator polynomial, which is commonly used in practice. In general, the generator polynomial can be of any degree and can be chosen based on the desired error detection capabilities.