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.

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tatendagota tatendagota · Answer 1 · 2020-03-30T05:38:04+02:00

Answer:

code = 010100000001101000101

Explanation:

Steps:

The inequality yields [tex]2^{k} - 1 > = M+K[/tex], 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

TonieCee TonieCee · Answer 2 · 2020-03-30T07:59:31+02:00

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