# Fall 2016 CSCI 255 Homework 5

This assignment is due in class on 29 September or may be uploaded in PDF format to Homework 5 on moodle by 5:10 PM on 29 September.

## Problem 1

Perform the following operations and express the result as it should be for a course in Computer Organization.

• 16G * 32
• 8M / 32
• log2(2G)

## Problem 2

• An 8 GB memory has a 16-bit word size. How many words are contained in this memory?
• A memory has 4 M words. Each word contains 32 bits. How many bytes are contained in this memory?
• How many bits are required to address the 4 M words of this memory?

## Problem 3

Express the following base 10 numbers in 16-bit fixed-point twos-complement representation with 8 integer bits and 8 fraction bits. Some of the numbers can not be expressed exactly, so give the nearest fixed-point representaion.

• 26
• 0.3
• 0.11111111111111111111111111111

## Problem 4

Express the following 16-bit fixed-point twos-complement numbers with 8 integer bits and 8 fraction bits as base 10 decimal numbers.

• 1111000011110000
• 0000111100001111
• 0000100000000000

## Problem 5

What is the 32-bit IEEE 754 representation for 26.5?

## Problem 6

If `0x41540000` is the 32-bit IEEE 754 representation of a floating point number, what is the floating point number?