CSCI 255 Homework 1

This assignment is due in class or to my office assistant in RH 215 by 1:45 pm on 26 August.

Problem 0

If we were able to change the lecture time to Wednesday-Friday from 1:10 to 2:35, would you be able to attend at that time?

What about Monday-Friday 1:45 to 3:00?

Problem 1

Convert the following unsigned binary numbers into decimal numbers.

  1. 10101111
  2. 10000101
  3. 10101000

Problem 2

Convert the following decimal numbers into binary numbers.

  1. 10
  2. 255
  3. 2000

Problem 3

Convert the following signed decimal numbers into 10-bit twos-complement representation.

  1. -1
  2. 255
  3. 0
  4. -13

Problem 4

Convert the following 7-bit twos-complement numbers into signed decimal numbers.

  1. 0000000
  2. 0101010
  3. 1010101
  4. 0011000
  5. 1110000
  6. 1101010

Problem 5

For numbers are stored in 10-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?