CSCI 2405
Discrete Mathematics II
Fall 2017
Homework Assignment 1

Due: Friday, September 1

1. Convert the following binary numbers to their decimal equivalents.

   1. 1010
   2. 10100
   3. 11111
   4. 10110
   5. 11100111

2. Use the division method to convert each of these decimal numbers to binary.

   1. 53
   2. 34092
   3. 4997
   4. 20507

3. Give the 8-bit two's complement of each of the following integers

   1. 34
   2. 66
   3. −71
   4. −27

4. For each of the following, convert the numbers to binary then perform the arithmetic in binary. Show your work.

   1. 19 + 5
   2. 19×5
   3. 23 + 11
   4. 23 ×11