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Number Systems: Decimal, Binary, Hexadecimal, RGB Colors

Goal:

• Understand the different number systems used by computers.
• Be able to convert from one notation to another
• Be able to name the different number systems and how they are used.

In order to do this you will:

Objectives:

• Use number systems and convert from one number system to another, Learning outcome #4;
• Convert binary to decimal;
• Convert decimal to binary;
• Convert Hexadecimal to decimal or binary;
• Determine the color from an RGB value;
• Be able to read and write a number using scientific notation.

Print the lesson

Please study the material at each of the links below.

1. Number systems: grouping: Quantities can be grouped in different ways.
   
   

2. Decimal system: The decimal system is base 10.
   
   
3. Binary Numbers: 0 and 1: The binary system is base 2
   
   
4. Drill: Convert binary to decimal: Practice converting binary numbers to decimal
   
   
5. Convert binary to decimal: Video: This video demonstrates converting decimal to binary. 5 minutes
   
   
6. Drill: Convert decimal to binary: Practice converting binary numbers to decimal
   
   
7. Hexadecimal Numbers: Base 16: 4 binary digits can be represented by 1 hex digit.
   
   
8. Decimal, Binary and Hexadecimal: Conversion table
   
   
9. Converting Binary to Hexadecimal: This video demonstrates converting binary to hex.
   /computers/videos/binary-hex.mp4
   
10. Drill: Convert binary to hexadecimal: Practice converting binary to hexadecimal
    
    
11. Converting Hexadecimal to Binary: This video show how to convert binary to hexadecimal.
    /computers/videos/hex-binary.mp4
    
12. Drill: Convert hexadecimal to binary: Practice converting hexadecimal to binary.
    
    
13. RGB Colors: RGB stands for Red, Green, Blue. It is used to represent colors. Be sure to experiment with the sliders.
    
    
14. Scientific notation: Very large or small numbers are often displayed in this format.
    
    
15. How to Write Decimals in Scientific Notation: Video 2.33 minutes
    
    
16. Drill: Value of e notation: Practice writing e notation in normal format.
    
    
17. A Magic Trick using binary numbers (PDF file to download): Just for fun, print on heavy paper, cut out and enjoy!
    
    
18. Self Study Questions: What do you know about the number systems used in Computer Science?
    
    
19. Self Study Questions
    
    

Glossary for numbers lesson
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