Which of the following represents the two's complement of the binary number 1101?001100101011111

To find the two's complement of the binary number 1101.001100101011111, follow these steps:

1. Find the one's complement of the binary number. This is done by flipping all the bits, i.e., changing all 1s to 0s and all 0s to 1s. So, the one's complement of 1101.001100101011111 is 0010.110011010100000.

2. Add 1 to the least significant bit (LSB) of the one's complement. If there is a carry from this addition, add it to the next bit to the left, and so on, until there is no carry.

Adding 1 to 0010.110011010100000 gives 0010.110011010100001.

So, the two's complement of the binary number 1101.001100101011111 is 0010.110011010100001.