2.3.2. Example with Positive and Negative Numbers

Try these first

1. 1.

   What occurs during an overflow in signed arithmetic?

   Hint

   Think about the limits of representation.

2. 2.

   What does the Zero Flag indicate?

   Hint

   Check the result you obtain in operations.

3. 3.

   What does an overflow indicate in signed arithmetic?

   • It is within limits
   • Exceeds store capacity
   • Stored incorrectly

   Hint

   Reflect on limits of the number range.

4. 4.

   True or False: Negative Flag is set if the arithmetic result is positive.

   • True
   • False

   Hint

   Think about the meaning of each flag.

5. 5.

   Calculate the result of -5 + 8 in signed arithmetic and identify the flags that would be set. Explain your reasoning.

   Hint

   Visualize the Two's Complement process.

6. 6.

   If you add two large numbers, let's say 15 and 16 in a 4-bit system, analyze the result and the flags set.

   Hint

   What’s the maximum signal with 4 bits?