Enter a number in base 2 below to convert it to base 9 instantly.
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In base 2, each digit position represents a power of 2: the rightmost digit counts individual ones, the next counts groups of 2, the next counts groups of 2×2, and so on — the same place-value idea as base 10, just with 2 distinct digits instead of ten.
Base 9 works the same way: the rightmost digit counts ones, the next counts groups of 9, the next counts groups of 9×9, and so on, using 9 distinct digits.
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| Base 10 | Base 2 | Base 9 |
|---|---|---|
| 1 | 1 | 1 |
| 2 | 10 | 2 |
| 3 | 11 | 3 |
| 4 | 100 | 4 |
| 5 | 101 | 5 |
| 6 | 110 | 6 |
| 7 | 111 | 7 |
| 8 | 1000 | 8 |
| 9 | 1001 | 10 |
| 10 | 1010 | 11 |
| 11 | 1011 | 12 |
| 12 | 1100 | 13 |
| 13 | 1101 | 14 |
| 14 | 1110 | 15 |
| 15 | 1111 | 16 |
| 16 | 10000 | 17 |
| 17 | 10001 | 18 |
| 18 | 10010 | 20 |
| 19 | 10011 | 21 |
| 20 | 10100 | 22 |
| 21 | 10101 | 23 |
| 22 | 10110 | 24 |
| 23 | 10111 | 25 |
| 24 | 11000 | 26 |
| 25 | 11001 | 27 |
| 26 | 11010 | 28 |
| 27 | 11011 | 30 |
| 28 | 11100 | 31 |
| 29 | 11101 | 32 |
| 30 | 11110 | 33 |
| 31 | 11111 | 34 |
| 32 | 100000 | 35 |
| 33 | 100001 | 36 |
| 34 | 100010 | 37 |
| 35 | 100011 | 38 |
| 36 | 100100 | 40 |
| 37 | 100101 | 41 |
| 38 | 100110 | 42 |
| 39 | 100111 | 43 |
| 40 | 101000 | 44 |
| 41 | 101001 | 45 |
| 42 | 101010 | 46 |
| 43 | 101011 | 47 |
| 44 | 101100 | 48 |
| 45 | 101101 | 50 |
| 46 | 101110 | 51 |
| 47 | 101111 | 52 |
| 48 | 110000 | 53 |
| 49 | 110001 | 54 |
| 50 | 110010 | 55 |
| 51 | 110011 | 56 |
| 52 | 110100 | 57 |
| 53 | 110101 | 58 |
| 54 | 110110 | 60 |
| 55 | 110111 | 61 |
| 56 | 111000 | 62 |
| 57 | 111001 | 63 |
| 58 | 111010 | 64 |
| 59 | 111011 | 65 |
| 60 | 111100 | 66 |
| 61 | 111101 | 67 |
| 62 | 111110 | 68 |
| 63 | 111111 | 70 |
| 64 | 1000000 | 71 |
| 70 | 1000110 | 77 |
| 80 | 1010000 | 88 |
| 90 | 1011010 | 110 |
| 100 | 1100100 | 121 |
| 200 | 11001000 | 242 |
| 300 | 100101100 | 363 |
| 400 | 110010000 | 484 |
| 500 | 111110100 | 615 |
| 600 | 1001011000 | 736 |
| 700 | 1010111100 | 857 |
| 800 | 1100100000 | 1078 |
| 900 | 1110000100 | 1210 |
| 1000 | 1111101000 | 1331 |
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