In an 8-bit two’s complement system, negative numbers are represented by inverting all the bits of the positive version of the number (i.e., taking the one's complement) and then adding 1 to the result.

Let's find the 8-bit two's complement representation of -60:

Step 1: Represent +60 in binary

The binary representation of +60 in 8 bits is:

+60 = 0011 1100

Step 2: Find the one’s complement

To find the one's complement, invert each bit:

One’s complement of 0011 1100 = 1100 0011

Step 3: Add 1 to the one’s complement

Now, add 1 to the one's complement to get the two's complement:

1100 0011
+        1
------------
1100 0100

Thus, the 8-bit two's complement representation of -60 is:

1100 0100

Would you like more details or have any other questions?

Here are five related questions to consider:

1. How is overflow handled in two's complement arithmetic?
2. What is the two's complement of -128 in an 8-bit system?
3. How does sign extension work when converting 8-bit two’s complement to 16-bit?
4. What is the largest positive number that can be represented in 8-bit two’s complement?
5. How would you represent -1 in an 8-bit two's complement system?

Tip: In two's complement, the leftmost bit (most significant bit) represents the sign of the number. A '1' indicates a negative number, and a '0' indicates a positive number.