Question 1: The following binary number is an 8-bit value encoded with Hamming C
ID: 3724135 • Letter: Q
Question
Question 1: The following binary number is an 8-bit value encoded with Hamming Code error detection and correction bits. For this number, the MSB is to the left and the LSB is to the right. What is the original 8-bit value? 1 0 1 1 1 0 1 0 oo01 o Question 2: This is also an 8-bit value that has been encoded. Unfortunately, there is an error in this number! What is the correct 8-bit value? 0 1 0 0 1 0 1 110 11 0 Question 3: Please encode this 8-bit number with Hamming Code error detection and correction bits: 1 10 0011 0Explanation / Answer
Note: Multiple questions asked
Solution:
Question 1:
For the given code there are 13 bits. The given code with bit position is given in below table.
13
12
11
10
9
8
7
6
5
4
3
2
1
1
0
1
1
1
0
1
0
0
0
0
1
0
The parity bits are at positions 1,2,4,8, 13
The data bits are at positions 3,5,6,7,9,10,11,12
Therefore the original 8 bit data is 0111 1000
13
12
11
10
9
8
7
6
5
4
3
2
1
1
0
1
1
1
0
1
0
0
0
0
1
0
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