3.2.1. Handling Different Symbol Sizes

Try these first

1. 1.

   What does the Overflow Flag indicate?

   Hint

   Think about when operations generate results outside of the number range.

2. 2.

   In unsigned arithmetic, do we consider the Overflow Flag?

   Hint

   Reflect on the definitions of the two types of arithmetic.

3. 3.

   What is the purpose of the Overflow Flag?

   • To indicate a carry-out
   • To signal invalid results
   • To confirm correct results

   Hint

   Think about when results exceed the capability of your number system.

4. 4.

   (True or False) The Carry Flag is used in unsigned arithmetic only.

   • True
   • False

   Hint

   Remember the distinction between signed and unsigned arithmetic.

5. 5.

   Using 4-bit signed binary, add the values -1 and -1. What will be the result, and explain if there is an overflow?

   Hint

   Consider how -1 is expressed in two's complement.

6. 6.

   Create two signed 4-bit numbers that, when added together, yield a carry but not an overflow. Identify the numbers and the resulting flags.

   Hint

   Base your answer on small positive integers that can sum up without exceeding the range.