13. Find all code words for binary messages of length 4 by appending three check digits using the parity-check sums , and . Will this code correct any single error?
13.
0000000, 1000001, 0100111, 0010101, 0001110, 1100110, 1010100, 1001111, 0110010, 0101001, 0011011, 1110011, 1101000, 1011010, 0111100, 1111101. No, because 1000001 has weight 2.