Fall 2010 CSCI 255 Homework 1

This assignment is due in class or to my office assistant in RH 215 by 3:00 pm on 31 August.

Problem 1

Convert the following unsigned binary numbers into decimal numbers.

1. 11111
2. 10101
3. 11101000

Problem 2

Convert the following decimal numbers into binary numbers.

1. 16
2. 255
3. 2010

Problem 3

Convert the following signed decimal numbers into 8-bit twos-complement representation.

1. 16
2. -16
3. 255
4. -255
5. 0
6. -0

Problem 4

Convert the following 5-bit twos-complement numbers into signed decimal numbers.

1. 00000
2. 01010
3. 10101
4. 11000
5. 10000

Problem 5

For numbers are stored in 6-bit words,

1. what is the smallest unsigned number that can be stored?
2. what is the largest unsigned number that can be stored?
3. what is the smallest twos-complement number that can be stored?
4. what is the largest twos-complement number that can be stored?