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Date: 2-12-2020
770
Date: 15-11-2020
722
Date: 10-7-2020
600
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The base-4 method of counting in which only the digits 0, 1, 2, and 3 are used. The illustration above shows the numbers 0 to 63 represented in quaternary, and the following table gives the quaternary equivalents of the first few decimal numbers.
1 | 1 | 11 | 23 | 21 | 111 |
2 | 2 | 12 | 30 | 22 | 112 |
3 | 3 | 13 | 31 | 23 | 113 |
4 | 10 | 14 | 32 | 24 | 120 |
5 | 11 | 15 | 33 | 25 | 121 |
6 | 12 | 16 | 100 | 26 | 122 |
7 | 13 | 17 | 101 | 27 | 123 |
8 | 20 | 18 | 102 | 28 | 130 |
9 | 21 | 19 | 103 | 29 | 131 |
10 | 22 | 20 | 110 | 30 | 132 |
These digits have the following multiplication table.
0 | 1 | 2 | 3 | |
0 | 0 | 0 | 0 | 0 |
1 | 0 | 1 | 2 | 3 |
2 | 0 | 2 | 10 | 12 |
3 | 0 | 3 | 12 | 21 |
REFERENCES:
Lauwerier, H. Fractals: Endlessly Repeated Geometric Figures. Princeton, NJ: Princeton University Press, pp. 9-10, 1991.
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