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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 2 Base 10 64 32 16 8 4 2 1 26 25 24 23 22 21 20 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 3 Base 10 81 3 36 35 34 33 32 31 30 12 114 373 472 614 2 2 2 2 2 2 2

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

 Base 3 Base 10 81 3 36 35 34 33 32 31 30 2 5 6 14 72 239 650 1 -1 0 1 -1 0 1

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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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