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Consider the following statements:
1. In a self-complementing code, the code word for the 9's complement of N is the 1’s complement of the codeword for N.
2. Each one of the 4-bit BCD codes has 6 illegal states.
3. The Gray code cannot be used for mathematical operations.
4. Excess-3 code can be used for mathematical operations.
Which of the statements given above is/are correct?
  • a)
    1 and 2
  • b)
    1,2, 3 and 4
  • c)
    1,3 and 4
  • d)
    2 and 4
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Consider the following statements:1. In a self-complementing code, the...
  • A code is said to be self-complementing, if the code word of the 9’s complement of N i.e. of (9-N) can be obtained from the code word of N by interchanging all the 0's and 1s. Thus, statement-1 is correct.
  • There are six illegal combinations in 4-bit BCD codes which are 1010, 1011, 1100, 1101, 1110 and 1111 and hence they are not part of the 8421 BCD code system. Thus, statement-2 is also correct.
  • The gray code can not be used for mathematical operations because it is non- weighted code. Thus, statement-3 is also correct.
  • The excess-3 code is also a non-weighted code, but can be used for mathematical operations because it is a sequential code. Thus, statement-4 is also correct.
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Consider the following statements:1. In a self-complementing code, the code word for the 9s complement of N is the 1’s complement of the codeword for N.2. Each one of the 4-bit BCD codes has 6 illegal states.3. The Gray code cannot be used for mathematical operations.4. Excess-3 code can be used for mathematical operations.Which of the statements given above is/are correct?a)1 and 2b)1,2, 3 and 4c)1,3 and 4d)2 and 4Correct answer is option 'B'. Can you explain this answer?
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