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NTA UGC NET DEC-2022 Paper-2
October 3, 2023
Compiler-Design
October 3, 2023
NTA UGC NET DEC-2022 Paper-2
October 3, 2023
Compiler-Design
October 3, 2023

Number-Systems

Question 33

Consider a parity check code with three data bits and four parity check bits. Three of the code words are 0101011, 1001101 and 1110001. Which of the following are also code words?

1. 0010111             
2. 0110110         
3. 1011010             
4. 0111010 
A
1 and 3
B
1, 2 and 3
C
2 and 4
D
1, 2, 3 and 4
Question 33 Explanation: 
Let x1, x2, x3 are data bits, and c1, c2, c3 and c4 are parity check bits.
Given transmitted codewords are

By inspection we can find the rule for generating each of the parity bits,

Now from above we can see that (I) and (III) are only codewords.
Correct Answer: A
Question 33 Explanation: 
Let x1, x2, x3 are data bits, and c1, c2, c3 and c4 are parity check bits.
Given transmitted codewords are

By inspection we can find the rule for generating each of the parity bits,

Now from above we can see that (I) and (III) are only codewords.
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