Question

Assuming 5-bit addition is done on registers, the sum \( 12 + 7 \) leads to _______.

• A. Overflow
• B. -12
• C. 19
• D. -14

Hint:

When dealing with binary addition in limited bit registers, be aware of overflow when the sum exceeds the maximum representable value.

Answer 1

The Correct Option is A

In a 5-bit register, the maximum number that can be represented is \( 2^5 - 1 = 31 \). The sum \( 12 + 7 = 19 \) is within the range, but if we add any larger number (like 12 + 7 in 5 bits), it exceeds the limit and causes an overflow. Therefore, the correct answer is overflow.