Question

Develop an sec (single error correction) code for a 16-bit data word. generate the code for the data word 0101000000111001. show that the code will correctly identify an error in data bit 4.

Answer 1

Answer:

code = 010100000001101000101

Explanation:

These are the steps:

The inequality is written as follows:

2^k - 1 >= M + K

where M = 16.

Therefore, the next step will be, arranging the data bits and checking the bits.

This is done as follows:

Bit position              Number             Check bits             Data Bits

21                                   10101

20                                  10100

The bits are thus checked in this manner, up to bit position 1

Therefore, the code is written as:

010100000001101000101

Answer 2

Answer:

code = 010100000001101000101

Explanation:

Steps:

The inequality yields $2^{k} - 1 > = M+K$, where M = 16. Therefore,

The second step will be to arrange the data bits and check the bits. This will be as follows:

Bit position              number              Check bits            Data Bits

21                                   10101

20                                  10100

The bits are checked up to bit position 1

Thus, the code is 010100000001101000101