No, the code C cannot correct 4 errors. The Hamming distance in error detection and correction is used to determine the minimum number of bit changes required to go from one valid word to another. If the Hamming distance between two words c1 and c2 is 7, it means that 7 bit changes are required to go from c1 to c2 or vice versa.

The error correction capability of a code is determined by its Hamming distance. A code can correct t errors if and only if its Hamming distance is at least 2t + 1. This is because to correct t errors, we need to be able to distinguish between all possible error patterns of t or fewer errors and the valid code words.

In this case, if we want to correct 4 errors, we would need a Hamming distance of at least 2*4 + 1 = 9. Since the Hamming distance is only 7, the code C cannot correct 4 errors.

Question

No, the code C cannot correct 4 errors. The Hamming distance in error detection and correction is used to determine the minimum number of bit changes required to go from one valid word to another. If the Hamming distance between two words c1 and c2 is 7, it means that 7 bit changes are required to go from c1 to c2 or vice versa.

The error correction capability of a code is determined by its Hamming distance. A code can correct t errors if and only if its Hamming distance is at least 2t + 1. This is because to correct t errors, we need to be able to distinguish between all possible error patterns of t or fewer errors and the valid code words.

In this case, if we want to correct 4 errors, we would need a Hamming distance of at least 2*4 + 1 = 9. Since the Hamming distance is only 7, the code C cannot correct 4 errors.

Knowee AI · Accepted Answer

No, the code C cannot correct 4 errors. The Hamming distance in error detection and correction is used to determine the minimum number of bit changes required to go from one valid word to another. If the Hamming distance between two words c1 and c2 is 7, it means that 7 bit changes are required to go from c1 to c2 or vice versa.

The error correction capability of a code is determined by its Hamming distance. A code can correct t errors if and only if its Hamming distance is at least 2t + 1. This is because to correct t errors, we need to be able to distinguish between all possible error patterns of t or fewer errors and the valid code words.

In this case, if we want to correct 4 errors, we would need a Hamming distance of at least 2*4 + 1 = 9. Since the Hamming distance is only 7, the code C cannot correct 4 errors.

If the Hamming distance between words c1 and c2 of C error correcting code is 7, can C code correct 4 errors?

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If the Hamming distance between words c1 and c2 of C error correcting code is 7, can C code correct 4 errors?

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