3.4.1. Review of Objectives and Learning Outcomes

Try these first

1. 1.

   What happens to the carry flag when adding 3 + 5 in 4-bit unsigned arithmetic?

   Hint

   Think about the maximum representable value in 4 bits.

2. 2.

   When is the overflow flag set in signed arithmetic?

   Hint

   Consider combinations of positive and negative numbers.

3. 3.

   What does the overflow flag indicate in signed arithmetic?

   • The result is correct
   • An overflow has occurred
   • The operation was invalid

   Hint

   Consider the conditions producing sign discrepancies.

4. 4.

   True or False: The carry flag is used primarily in signed arithmetic.

   • True
   • False

   Hint

   Reflect on the contexts in which each flag is applicable.

5. 5.

   In a scenario, you are developing a function that can handle addition of numbers based on their type (signed/unsigned). What precautions should your function take regarding overflow and carry flags?

   Hint

   Think about logic flows that differentiate signed from unsigned operations.

6. 6.

   You performed the addition of two large 4-bit numbers, 15 and 1 in unsigned arithmetic. Explain what happens and how it correlates to carry and subsequent calculations.

   Hint

   What do you know about maximum values in binary dynamic?