Answer:
A
Explanation:
To convert the decimal number 126 to a binary two's complement number in 16 bits (2 bytes), follow these steps:
1. Convert the absolute value of the decimal number to binary. In this case, the absolute value of 126 is 126. Converting 126 to binary gives us 01111110.
2. If the original decimal number is positive, the two's complement representation will be the same as the binary representation. Since 126 is positive, we keep the binary representation from step 1.
3. If the original decimal number is negative, we need to perform a two's complement operation. In this case, since 126 is positive, we can skip this step.
4. If the binary representation from step 2 has fewer than 16 bits, pad the leftmost side with zeroes until it reaches 16 bits. In this case, the binary representation already has 8 bits, so we need to add 8 more zeroes to make it 16 bits. The final binary representation is 0000000001111110.
Therefore, the correct answer is A) 0111111111111110.
