# Fall 2014 CSCI 255 Homework 3

This assignment is due in class on 8 September or may be uploaded to Homework 3 on moodle by 2:00 PM on 8 September.

## Problem 1

Below are three addition problems. Convert the numbers in these problems into 8-bit twos-complement and then add as 8-bit twos-complement. Some of these additions will result in overflow.

Indicate the result of each addition and note if the addition results in overflow.

• 100 + 60
• 100 + -60
• -60 + -60

## Problem 2

Below are two addition problems. Convert the numbers in these problems into 8-bit unsigned numbers and then add as 8-bit unsigned numbers. Some of these additions will result in overflow.

Indicate the result of each addition and note if the addition results in overflow.

• 100 + 60
• 200 + 200

## Problem 3

Represent each of the following decimal point numbers as binary point numbers? Each has an exact reprentation.

• 3.375
• 2.15625

## Problem 4

The number 0.57 cannot be represented exactly in binary point number with fractional bits. However, it can be approximated. What is the best approximation of this number using 8 factional binary bits.