Explanation:

1. 2's Complement Form:

In 2's complement form, the most significant bit (MSB) represents the sign of the number. If the MSB is 0, the number is positive, and if the MSB is 1, the number is negative. To obtain the negative representation of a number, we invert all the bits and add 1 to the result.

For example:
- Positive number 5 in binary: 0000 0000 0000 0101
- Negative number -5 in 2's complement: 1111 1111 1111 1011 (invert bits + add 1)

2. Signed Magnitude Form:

In signed magnitude form, the MSB still represents the sign of the number. However, the remaining bits represent the magnitude of the number, with the positive sign being denoted by 0 and the negative sign by 1.

For example:
- Positive number 5 in binary: 0000 0000 0000 0101
- Negative number -5 in signed magnitude: 1000 0000 0000 0101 (MSB denotes negative sign)

3. X - Y:

Now, let's consider X as the set of all distinct 16-bit integers in 2's complement form, and Y as the set of all distinct 16-bit integers in signed magnitude form. We need to find X - Y.

To calculate X - Y, we subtract each number in Y from each number in X.

4. Analysis:

When subtracting a number in signed magnitude form from a number in 2's complement form, the subtraction operation is performed as usual. The difference will depend on the sign of the numbers being subtracted.

- If the signs of X and Y are the same (both positive or both negative), the subtraction will result in a positive number.
- If the signs of X and Y are different (one positive and one negative), the subtraction will result in a negative number.

5. Conclusion:

Since X consists of all distinct 16-bit integers in 2's complement form, and Y consists of all distinct 16-bit integers in signed magnitude form, the subtraction X - Y will always result in a positive number.

Therefore, the correct answer is 1.