Computer Structures:

In computational questions you need to show your work, just an answer will not earn you any points. When answering other questions you need to provide not just an answer but also the justification to your answer.

1. What is the difference between the twos complement representation of a number and the twos complement of a number?

2. Give a reason for the use of guard bits.

3. Represent the following decimal numbers in both binary sign/magnitude and twos complement using 6 bits: +23; -29

4. Using twos complement representation calculate (use the algorithms discussed in class)

   (a) (+23) + (-29) (b) (+23) - (-29)

   (c) (+23)(29) (d) (+23)(29)

5. What would be the bias value for a base-2 exponent in a 6-bit field?

6. If A = 1.427, find the relative error if A is truncated to 1.42 and if it is rounded to 1.43.

7. Add the single precision IEEE numbers 3EE00000H and 3D800000H and express the normalized result in hexadecimal.