3.1.1. Signed Arithmetic Basics

Try these first

1. 1.

   What is signed arithmetic?

   Hint

   Think about how you handle negative values in numbers.

2. 2.

   What does the overflow flag indicate?

   Hint

   Consider what happens when you add two large numbers.

3. 3.

   What does the overflow flag signify in signed arithmetic?

   • A valid result
   • An invalid result
   • No effect

   Hint

   Think about what happens when results exceed boundaries.

4. 4.

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

   • True
   • False

   Hint

   Consider how signed numbers are treated differently.

5. 5.

   Calculate the sum of -1 and -1 in 4-bit signed arithmetic and explain the significance of the flags.

   Hint

   Think about how to represent -2 in binary!

6. 6.

   If you add two large integers, 7 and 8, in signed 4-bit arithmetic, what complications arise? Describe the outcome and the corresponding flags.

   Hint

   Consider the maximum value you can represent in 4 bits.