Binary of -8 is(A) 10000000(B) 00001000(C) 10001000(D) 11000000

The binary representation of a negative number in a computer is typically done using a method called 2's complement. Here's how you can find the binary representation of -8:

1. First, find the binary representation of positive 8. In binary, 8 is represented as 1000.

2. Next, find the 1's complement of this binary number. The 1's complement is found by flipping all the bits (changing 1s to 0s and 0s to 1s). So, the 1's complement of 1000 is 0111.

3. Then, find the 2's complement of the binary number. The 2's complement is found by adding 1 to the least significant bit (rightmost bit) of the 1's complement. So, if we add 1 to 0111, we get 1000.

However, in an 8-bit binary number system, we need to represent -8 with 8 bits. So, we add four more zeros to the left side of the binary number. Therefore, the 8-bit binary representation of -8 is 10001000.

So, the correct answer is (C) 10001000.