Final answer:
To perform binary addition with numbers in 8-bit 2's complement, align the numbers vertically, add them column by column, and convert the binary sum to decimal.
Step-by-step explanation:
To perform binary addition with numbers in 8-bit 2's complement, follow these steps:
- Align the numbers vertically.
- Add the numbers column by column, starting from the rightmost column.
- If there is a carry from the previous column, add it to the sum.
- If the sum is greater than 1, write down the rightmost bit of the sum and carry the leftmost bit to the next column.
- Repeat this process until all columns are added.
To verify the answer in decimal, convert the binary sum to decimal.
For example:
A. 00101110 + 00111111 = 01101101 (binary sum)
To convert 01101101 to decimal, it is 109.
None of the problems have an overflow.
The binary addition question relates to 8-bit 2's complement arithmetic. Problems C and D have an overflow because the result requires an extra bit to represent. Binary operations and overflow detection are important mathematics concepts.
The subject of the question is binary addition using 8-bit 2's complement representation. Overflow occurs in binary addition when the result is outside the range that can be represented with the given number of bits.