3.2. Implications of Overflow in Arithmetic Operations

Try these first

1. 1.

   What is the overflow flag?

   Hint

   Think about when arithmetic results can't be correctly stored.

2. 2.

   Define signed and unsigned arithmetic.

   Hint

   Remember the sign representation!

3. 3.

   What happens when overflow occurs in signed arithmetic?

   • The result remains accurate
   • The overflow flag is set
   • The result is doubled

   Hint

   Think about the role of the overflow flag.

4. 4.

   True or False: In unsigned arithmetic, the carry flag is important, but the overflow flag can be ignored.

   • True
   • False

   Hint

   Consider the properties of positive numbers.

5. 5.

   You have 7 and 9 as 4-bit signed numbers. What happens when you add them? Identify the flags and reason out any overflow.

   Hint

   Consider how the number is represented in binary.

6. 6.

   A program fails after computing large sums. Analyze how overflow could cause runtime issues in handling those sums.

   Hint

   Think about the implications of running out of space.