Final answer:
In 32-bit binary format, -10 is represented as 11111111111111111111111111110110, and 12 as 00000000000000000000000000001100. Their sum is 11111111111111111111111111111110, which represents -2, with no overflow occurring as the sign of the operands is different and the result is within the 32-bit range.
Step-by-step explanation:
To show the steps of each addition in 32-bit binary format between -10 and 12 and check for overflow, we first need to represent these numbers in binary. The 32-bit binary representation for the -10 is 11111111111111111111111111110110 (Two's complement format), and for 12 it is 00000000000000000000000000001100. When we add these two binary numbers, we get 11111111111111111111111111111110, which is the 32-bit representation of -2 (there's no overflow since we are combining a negative and a positive number, and the results fit within the 32-bit signed integer range).
Checking for overflow, we see that since the sign of the two operands was different, overflow cannot occur because the sum does not exceed the range of a 32-bit signed integer.