A Hamming (7,4 ) code uses the following check bit rulesc1 = k1 + k4 c2 = k1 + k2 + k3 c3 = k1 + k3Construct a complete table for the code set.
Question
A Hamming (7,4 ) code uses the following check bit rulesc1 = k1 + k4 c2 = k1 + k2 + k3 c3 = k1 + k3Construct a complete table for the code set.
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Solution 1
Sure, here is the complete table for the Hamming (7,4) code set:
| k1 | k2 | k3 | k4 | c1 | c2 | c3 |
|---|---|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 0 | 0 | 0 | 1 | 1 | 0 | 0 |
| 0 | 0 | 1 | 0 | 0 | 1 | 1 |
| 0 | 0 | 1 | 1 | 1 | 1 | 1 |
| 0 | 1 |
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