Final answer:
Option B, 00011001, is the correct answer for the 2's complement of the binary number 11100111, which is found by inverting all bits to get the 1's complement and then adding 1.
Step-by-step explanation:
The question asks for the 2's complement of the binary number 11100111. The 2's complement operation is used in computing for representing negative numbers. To find the 2's complement of a binary number, you first find the 1's complement by inverting all the bits in the number, and then you add 1 to this value.
Starting with 11100111, the 1's complement is 00011000 (inverting all bits). Adding 1 to the 1's complement, we get 00011001. Therefore, the 2's complement of the binary number 11100111 is 00011001, which corresponds to option B.
The 2's complement of a binary number is found by taking its 1's complement and adding 1 to the result. To find the 1's complement, we flip all the bits (changing 0s to 1s and 1s to 0s). In this case, the 1's complement of 11100111 is 00011000. Adding 1 to the 1's complement gives us the 2's complement: 00011001. Therefore, the correct answer is B. 00011001.