What is the distance of the following code 000000, 010101, 000111, 011001, 111111?a)2b)3c)4d)1Correct answer is option 'A'. Can you explain this answer?

Question

Answer

Explanation:

To find the distance between two binary strings, we compare the corresponding bits of the two strings and count the number of positions where the bits are different.

Calculating the distance:

1) Distance between 000000 and 010101:
- The bits at positions 2, 4, and 6 are different.
- Therefore, the distance is 3.

2) Distance between 000000 and 000111:
- The bits at positions 4, 5, and 6 are different.
- Therefore, the distance is 3.

3) Distance between 000000 and 011001:
- The bits at positions 2, 4, 5, and 6 are different.
- Therefore, the distance is 4.

4) Distance between 000000 and 111111:
- All the bits are different.
- Therefore, the distance is 6.

Conclusion:

The distance between the binary string 000000 and the given binary strings is as follows:

- Distance between 000000 and 010101 is 3.
- Distance between 000000 and 000111 is 3.
- Distance between 000000 and 011001 is 4.
- Distance between 000000 and 111111 is 6.

Out of these distances, the minimum distance is 2. Therefore, the correct answer is option 'A' (2).

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