2.1.1. Introduction to Overflow in Digital Design

Try these first

1. 1.

   What happens when you add 1111 and 0001 in a 4-bit system?

   Hint

   Think about the binary calculation.

2. 2.

   Define the carry flag.

   Hint

   Relate it to addition operations.

3. 3.

   What is an overflow in digital arithmetic?

   Hint

   Consider the limits of binary representation.

4. 4.

   True or False: The zero flag is set when the result of an operation is not zero.

   Hint

   Think about when a flag would indicate zero.

5. 5.

   Design a 4-bit adder and explain how overflow is managed in it.

   Hint

   Use logical gates to illustrate bit flow.

6. 6.

   Given two signed 8-bit numbers, -128 and +1, what happens if they are added?

   Hint

   Consider the binary representations of -128 in two's complement.