CSC103 Exercises on Binary System and Boolean Logic

--D. Thiebaut 20:22, 31 January 2012 (EST)

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Exercise 1: Binary System

• In binary, what are the binary numbers that logically follow these numbers:
  • 11011
  • 0000111
  • 112

Exercise 2: Binary Additions

• Perform the following additions of binary numbers by hand=

     111111
   +      1
        

     110011
   + 110011

Exercise 3: Base 3

• Assume that you have system with only three digits: 0, 1, and 2.

• Count in base 3, and list the first 15 numbers of the series, starting with 0.

• What is the numbers that logically follow the ones listed below?
  • 101
  • 102
  • 112
  • 222

Exercise 4: Adding in Base 3

• Perform the following additions in Base 3:

      111222
   +       1

      120112
   +  122110