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April 20, 2014

April 20, 2014

Posted by **Kristi** on Wednesday, May 12, 2010 at 8:09pm.

- algebra -
**Damon**, Wednesday, May 12, 2010 at 9:15pmbase 2 goes like this

2^0 = 1 column 1

2^1 = 2 column 2

2^2 = 4 column 3

2^3 = 8 column 4

2^4 = 16 column 5

so

1 = 1

2 = 1 0 which is 2^1

3 = 1 1

4 = 1 0 0 which is 2^2

5 = 1 0 1

5 = 1 1 0

7 = 1 1 1

8 = 1 0 0 0 which is 2^3

etc to

15 = 1 1 1 1

16 = 1 0 0 0 0 which is 2^4

similarly for base 4

4^0 = 1

4^1 = 4

4^2 = 16

4^3 = 64

so

1 = 1

2 = 2

3 = 3

4 = 1 0 which is 4^1

5 = 1 1

6 = 1 2

7 = 1 3

8 = 2 0

9 = 2 1

10 = 2 2

11 = 2 3

12 = 3 0

13 = 3 1

14 = 3 2

15 = 3 3

16 = 1 0 0 which is 4^2

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