Cynthia Lanius

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Power Cards

Application - Binary Numbers
            Questions


Power Cards Intro || The Trick Explained || Blank Cards || Application - Binary Nos.
More of Cynthia Lanius' Math Lessons

  1. Convert the following numbers from Base 10 to binary numbers (or Base 2). Put a 1 if you need to add that number or a 0 if you don't.

    Base 10 Base 2
      6432168421
      26252423222120
    12             
    21             
    47             
    72             
    Your age             
    Your height
    (in inches)
                

  2. Convert 101010 in Base 2 to Base 10.

  3. Complete the Base 3 table below. Remember: you may put a 0, 1, or 2 in each column.

    Base 10 Base 3
        81    3 
      36353433323130
    12             
    114             
    373             
    472             
    614             
     2 2 2 2 2 22

  4. Challenge: Complete the Base 3 table below, but this time, put a 0, 1, or -1.

    Base 10 Base 3
        81    3 
      36353433323130
    2             
    5             
    6             
    14             
    72             
    239             
    650             
     1 -1 0 1 -1 01

  5. Choose a different numerical base from 2 or 3, set up a conversion table from Base 10 to that base and show at least 10 examples of numbers in that base.

  6. The ancient Babylonians used a sophisticated Base 60 arithmetic. Can you think of an important element of our own culture that is still calculated on Base 60? Do a research project on the Babylonian Base 60 arithmetic. A good place to start is a search at the Math Forum.


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    Card No. 2
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    Power Cards Intro || Print Version || The Trick Explained || Blank Cards || Application - Binary Nos.
    More of Cynthia Lanius' Math Lessons

    URL http://math.rice.edu/~lanius/pro/power5.html