Topic 1b
Binary and Hexadecimal Integer Representations

Learning Outcomes

By the end of this topic students should be able to:

• Convert a binary representation (unsigned integer) to its equivalent base ten value.
• Convert a base ten value to its binary equivalent (unsigned integer).
• Convert a length 4 binary representation (unsigned integer) to its equivalent hexadecimal value.
• Convert a hexadecimal value to its binary equivalent (unsigned integer).
• Calculate the sum of two bit-strings with the solution expressed as a bit string.
• Calculate how many unique values can be stored in N bits.

Learning Materials

• Readings
• Binary representation of non-negative integers - pp 51-54
• Hexadecimal - pp 32-33
• Videos
• Crash Course Computing #4 - Representing Numbers and Letters with Binary
  • Note, we are only going to be dealing with integers at this time. That ends at about 5:50 so you can stop at that point.
• https://www.youtube.com/watch?v=Xpk67YzOn5w
  • Note, we are only dealing with part of this video from 0-3:45 and then 5:00-6:30

 

Checking for Understanding

If you want to get some practice working with binary you can use the following resources

• Some practice games I have coded up in Scratch
  • Practice converting from binary to an unsigned integer
  • Practice converting from an unsigned integer to binary
  • Practice adding two binary numbers
• Cisco has a fun Binary Game where you have to race against the timer

Answer the following questions from your textbook. The answers to all Q&E questions are in the back of your book in Appendix F.

• p56, #1
• p56, #2
• p56, #5 a and c (b&d are covered in the next topic)
• p34, #5
• p34, #6

Additional Guidance

• If you are still struggling with the material in this topic, the following videos may help.
  • From binary strings to integers
    • Explanation
    • CFU p56, #1
      • Note, I have a typo in my slides for 1e. I have only 4 1s (which is 15) but the book has 5 1s (which is 31).
  • From integers to binary strings
    • Explanation
    • CFU p56, #2
  • From binary strings to hexadecimal
    • Explanation
    • CFU p34, #5 and #6

Further Information

• None at this time.