2.1.2. Example of Unsigned Numbers

Try these first

1. 1.

   What happens when you add 1111 (15) and 0001 (1) in 4-bit unsigned arithmetic?

   Hint

   Think about how numbers are represented in bits.

2. 2.

   What is the maximum value representable in 4 bits for unsigned numbers?

   Hint

   Consider the range of 4 bits.

3. 3.

   What occurs when an overflow happens during addition in unsigned arithmetic?

   • The output was valid
   • Data corruption occurred
   • An additional carry is generated

   Hint

   Overflow has implications on how numbers are stored.

4. 4.

   True or False: The zero flag is set when the result of the addition is non-zero.

   • True
   • False

   Hint

   Think about the condition that sets the zero flag.

5. 5.

   Two unsigned numbers, 0101 and 1010, are written in 8-bit binary. Perform addition and explain each flag behavior after the operation.

   Hint

   Always check the binary results and their implications.

6. 6.

   Consider the binary addition of two maximum values in 4 bits. Discuss what happens with various flags.

   Hint

   Identify what would normally happen with each flag when you reach technical limits.