The 2’s complement of a binary number is formed by flipping all the bits and adding 1. So, the 2’s complement of 0011 0101 1001 1100 is 1100 1010 0110 0011.
Here is a step-by-step solution:
- Flip all the bits of 0011 0101 1001 1100. This gives us 1100 1010 0110 0100.
- Add 1 to the resulting number. This gives us 1100 1010 0110 0011.
Therefore, the 2’s complement of 0011 0101 1001 1100 is 1100 1010 0110 0011.
Option A is incorrect because it is not the 2’s complement of 0011 0101 1001 1100.
Option B is incorrect because it is not the 2’s complement of 0011 0101 1001 1100.
Option C is incorrect because it is not the 2’s complement of 0011 0101 1001 1100.
Option D is the correct answer because it is the 2’s complement of 0011 0101 1001 1100.
Option E is incorrect because it is not a valid binary number.