Table des bases
# Table des bases

Cet article contient une table de bases.

Note : Ce qui suit s'applique seulement pour les systèmes à notation positionnelle.

## Passage d'une base à une autre

En Occident, la plupart des gens ont appris à compter en base 10 avec les chiffres 0, 1, 2..., 9. Cependant, il existe d'autres systèmes de numération, les plus connus étant les systèmes binaire (0, 1) et hexadécimal (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F).

### Du système décimal à un autre système

Il existe un algorithme qui permet de passer du système décimal à un autre.

1. Faire la division entière du nombre N base 10, noter le reste R

2. Si le dividende D vaut zéro, aller à l'étape 5.

3. Le dividende D devient le nombre N.

4. Aller à l'étape 1.

5. La suite des restes R, du dernier au premier, sont les chiffres du nombre recherché.

Supposons que l'on souhaite convertir le nombre $1000_{10}$ en base 16. Il suffit d'appliquer l'algorithme.

1000 ÷ 16 = 62 reste 8

62 ÷ 16 = 3 reste 14

3 ÷ 16 = 0 reste 3

Donc, $1000_{10}$ = {3, 14, $8}_{16}$ = $3E8_{16}.$

### D'un autre système au système décimal

Pour passer d'un autre système au système décimal, il faut se rappeler une propriété de la notation positionnelle : chaque chiffre est équivalent à chiffre * $(base^{position}).$ Par exemple, $457_{10}$ est équivalent à 4 * $10^2$ + 5 * $10^1$ + 7 * $10^0,$ étant entendu que la première position à la droite vaut zéro, la suivante vers la gauche vaut 1, et ainsi de suite.

Pour convertir $3E8_{16}$ en base 10, il faut calculer 3 * $16^2$ + E * $16^1$ + 8 * $16^0$ = 768 + 14 * 16 + 8 * 1 = $1000_{10},$ qui est la réponse attendue.

## Table

Cette table donne les valeurs de 1 à 100 dans les bases de 2 à 20.

| | Base | Base | Base | Base | Base | | Base | Base | Base | Base | Base | | Base | Base | Base | Base | Base | | Base | Base | Base | Base |
| - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - |
| n | 2 | 3 | 4 | 5 | 6 | n | 7 | 8 | 9 | 10 | 11 | n | 12 | 13 | 14 | 15 | 16 | n | 17 | 18 | 19 | 20 |
| 1 | $1_2$ | $1_3$ | $1_4$ | $1_5$ | $1_6$ | n=1 | $1_7$ | $1_8$ | $1_9$ | $1_{10}$ | $1_{11}$ | n=1 | $1_{12}$ | $1_{13}$ | $1_{14}$ | $1_{15}$ | $1_{16}$ | n=1 | $1_{17}$ | $1_{18}$ | $1_{19}$ | $1_{20}$ |
| 2 | $10_2$ | $2_3$ | $2_4$ | $2_5$ | $2_6$ | n=2 | $2_7$ | $2_8$ | $2_9$ | $2_{10}$ | $2_{11}$ | n=2 | $2_{12}$ | $2_{13}$ | $2_{14}$ | $2_{15}$ | $2_{16}$ | n=2 | $2_{17}$ | $2_{18}$ | $2_{19}$ | $2_{20}$ |
| 3 | $11_2$ | $10_3$ | $3_4$ | $3_5$ | $3_6$ | n=3 | $3_7$ | $3_8$ | $3_9$ | $3_{10}$ | $3_{11}$ | n=3 | $3_{12}$ | $3_{13}$ | $3_{14}$ | $3_{15}$ | $3_{16}$ | n=3 | $3_{17}$ | $3_{18}$ | $3_{19}$ | $3_{20}$ |
| 4 | $100_2$ | $11_3$ | $10_4$ | $4_5$ | $4_6$ | n=4 | $4_7$ | $4_8$ | $4_9$ | $4_{10}$ | $4_{11}$ | n=4 | $4_{12}$ | $4_{13}$ | $4_{14}$ | $4_{15}$ | $4_{16}$ | n=4 | $4_{17}$ | $4_{18}$ | $4_{19}$ | $4_{20}$ |
| 5 | $101_2$ | $12_3$ | $11_4$ | $10_5$ | $5_6$ | n=5 | $5_7$ | $5_8$ | $5_9$ | $5_{10}$ | $5_{11}$ | n=5 | $5_{12}$ | $5_{13}$ | $5_{14}$ | $5_{15}$ | $5_{16}$ | n=5 | $5_{17}$ | $5_{18}$ | $5_{19}$ | $5_{20}$ |
| 6 | $110_2$ | $20_3$ | $12_4$ | $11_5$ | $10_6$ | n=6 | $6_7$ | $6_8$ | $6_9$ | $6_{10}$ | $6_{11}$ | n=6 | $6_{12}$ | $6_{13}$ | $6_{14}$ | $6_{15}$ | $6_{16}$ | n=6 | $6_{17}$ | $6_{18}$ | $6_{19}$ | $6_{20}$ |
| 7 | $111_2$ | $21_3$ | $13_4$ | $12_5$ | $11_6$ | n=7 | $10_7$ | $7_8$ | $7_9$ | $7_{10}$ | $7_{11}$ | n=7 | $7_{12}$ | $7_{13}$ | $7_{14}$ | $7_{15}$ | $7_{16}$ | n=7 | $7_{17}$ | $7_{18}$ | $7_{19}$ | $7_{20}$ |
| 8 | $1000_2$ | $22_3$ | $20_4$ | $13_5$ | $12_6$ | n=8 | $11_7$ | $10_8$ | $8_9$ | $8_{10}$ | $8_{11}$ | n=8 | $8_{12}$ | $8_{13}$ | $8_{14}$ | $8_{15}$ | $8_{16}$ | n=8 | $8_{17}$ | $8_{18}$ | $8_{19}$ | $8_{20}$ |
| 9 | $1001_2$ | $100_3$ | $21_4$ | $14_5$ | $13_6$ | n=9 | $12_7$ | $11_8$ | $10_9$ | $9_{10}$ | $9_{11}$ | n=9 | $9_{12}$ | $9_{13}$ | $9_{14}$ | $9_{15}$ | $9_{16}$ | n=9 | $9_{17}$ | $9_{18}$ | $9_{19}$ | $9_{20}$ |
| 10 | $1010_2$ | $101_3$ | $22_4$ | $20_5$ | $14_6$ | n=10 | $13_7$ | $12_8$ | $11_9$ | $10_{10}$ | $a_{11}$ | n=10 | $a_{12}$ | $a_{13}$ | $a_{14}$ | $a_{15}$ | $a_{16}$ | n=10 | $a_{17}$ | $a_{18}$ | $a_{19}$ | $a_{20}$ |
| 11 | $1011_2$ | $102_3$ | $23_4$ | $21_5$ | $15_6$ | n=11 | $14_7$ | $13_8$ | $12_9$ | $11_{10}$ | $10_{11}$ | n=11 | $b_{12}$ | $b_{13}$ | $b_{14}$ | $b_{15}$ | $b_{16}$ | n=11 | $b_{17}$ | $b_{18}$ | $b_{19}$ | $b_{20}$ |
| 12 | $1100_2$ | $110_3$ | $30_4$ | $22_5$ | $20_6$ | n=12 | $15_7$ | $14_8$ | $13_9$ | $12_{10}$ | $11_{11}$ | n=12 | $10_{12}$ | $c_{13}$ | $c_{14}$ | $c_{15}$ | $c_{16}$ | n=12 | $c_{17}$ | $c_{18}$ | $c_{19}$ | $c_{20}$ |
| 13 | $1101_2$ | $111_3$ | $31_4$ | $23_5$ | $21_6$ | n=13 | $16_7$ | $15_8$ | $14_9$ | $13_{10}$ | $12_{11}$ | n=13 | $11_{12}$ | $10_{13}$ | $d_{14}$ | $d_{15}$ | $d_{16}$ | n=13 | $d_{17}$ | $d_{18}$ | $d_{19}$ | $d_{20}$ |
| 14 | $1110_2$ | $112_3$ | $32_4$ | $24_5$ | $22_6$ | n=14 | $20_7$ | $16_8$ | $15_9$ | $14_{10}$ | $13_{11}$ | n=14 | $12_{12}$ | $11_{13}$ | $10_{14}$ | $e_{15}$ | $e_{16}$ | n=14 | $e_{17}$ | $e_{18}$ | $e_{19}$ | $e_{20}$ |
| 15 | $1111_2$ | $120_3$ | $33_4$ | $30_5$ | $23_6$ | n=15 | $21_7$ | $17_8$ | $16_9$ | $15_{10}$ | $14_{11}$ | n=15 | $13_{12}$ | $12_{13}$ | $11_{14}$ | $10_{15}$ | $f_{16}$ | n=15 | $f_{17}$ | $f_{18}$ | $f_{19}$ | $f_{20}$ |
| 16 | $10000_2$ | $121_3$ | $100_4$ | $31_5$ | $24_6$ | n=16 | $22_7$ | $20_8$ | $17_9$ | $16_{10}$ | $15_{11}$ | n=16 | $14_{12}$ | $13_{13}$ | $12_{14}$ | $11_{15}$ | $10_{16}$ | n=16 | $g_{17}$ | $g_{18}$ | $g_{19}$ | $g_{20}$ |
| 17 | $10001_2$ | $122_3$ | $101_4$ | $32_5$ | $25_6$ | n=17 | $23_7$ | $21_8$ | $18_9$ | $17_{10}$ | $16_{11}$ | n=17 | $15_{12}$ | $14_{13}$ | $13_{14}$ | $12_{15}$ | $11_{16}$ | n=17 | $10_{17}$ | $h_{18}$ | $h_{19}$ | $h_{20}$ |
| 18 | $10010_2$ | $200_3$ | $102_4$ | $33_5$ | $30_6$ | n=18 | $24_7$ | $22_8$ | $20_9$ | $18_{10}$ | $17_{11}$ | n=18 | $16_{12}$ | $15_{13}$ | $14_{14}$ | $13_{15}$ | $12_{16}$ | n=18 | $11_{17}$ | $10_{18}$ | $i_{19}$ | $i_{20}$ |
| 19 | $10011_2$ | $201_3$ | $103_4$ | $34_5$ | $31_6$ | n=19 | $25_7$ | $23_8$ | $21_9$ | $19_{10}$ | $18_{11}$ | n=19 | $17_{12}$ | $16_{13}$ | $15_{14}$ | $14_{15}$ | $13_{16}$ | n=19 | $12_{17}$ | $11_{18}$ | $10_{19}$ | $j_{20}$ |
| 20 | $10100_2$ | $202_3$ | $110_4$ | $40_5$ | $32_6$ | n=20 | $26_7$ | $24_8$ | $22_9$ | $20_{10}$ | $19_{11}$ | n=20 | $18_{12}$ | $17_{13}$ | $16_{14}$ | $15_{15}$ | $14_{16}$ | n=20 | $13_{17}$ | $12_{18}$ | $11_{19}$ | $10_{20}$ |
| 21 | $10101_2$ | $210_3$ | $111_4$ | $41_5$ | $33_6$ | n=21 | $30_7$ | $25_8$ | $23_9$ | $21_{10}$ | $1a_{11}$ | n=21 | $19_{12}$ | $18_{13}$ | $17_{14}$ | $16_{15}$ | $15_{16}$ | n=21 | $14_{17}$ | $13_{18}$ | $12_{19}$ | $11_{20}$ |
| 22 | $10110_2$ | $211_3$ | $112_4$ | $42_5$ | $34_6$ | n=22 | $31_7$ | $26_8$ | $24_9$ | $22_{10}$ | $20_{11}$ | n=22 | $1a_{12}$ | $19_{13}$ | $18_{14}$ | $17_{15}$ | $16_{16}$ | n=22 | $15_{17}$ | $14_{18}$ | $13_{19}$ | $12_{20}$ |
| 23 | $10111_2$ | $212_3$ | $113_4$ | $43_5$ | $35_6$ | n=23 | $32_7$ | $27_8$ | $25_9$ | $23_{10}$ | $21_{11}$ | n=23 | $1b_{12}$ | $1a_{13}$ | $19_{14}$ | $18_{15}$ | $17_{16}$ | n=23 | $16_{17}$ | $15_{18}$ | $14_{19}$ | $13_{20}$ |
| 24 | $11000_2$ | $220_3$ | $120_4$ | $44_5$ | $40_6$ | n=24 | $33_7$ | $30_8$ | $26_9$ | $24_{10}$ | $22_{11}$ | n=24 | $20_{12}$ | $1b_{13}$ | $1a_{14}$ | $19_{15}$ | $18_{16}$ | n=24 | $17_{17}$ | $16_{18}$ | $15_{19}$ | $14_{20}$ |
| 25 | $11001_2$ | $221_3$ | $121_4$ | $100_5$ | $41_6$ | n=25 | $34_7$ | $31_8$ | $27_9$ | $25_{10}$ | $23_{11}$ | n=25 | $21_{12}$ | $1c_{13}$ | $1b_{14}$ | $1a_{15}$ | $19_{16}$ | n=25 | $18_{17}$ | $17_{18}$ | $16_{19}$ | $15_{20}$ |
| 26 | $11010_2$ | $222_3$ | $122_4$ | $101_5$ | $42_6$ | n=26 | $35_7$ | $32_8$ | $28_9$ | $26_{10}$ | $24_{11}$ | n=26 | $22_{12}$ | $20_{13}$ | $1c_{14}$ | $1b_{15}$ | $1a_{16}$ | n=26 | $19_{17}$ | $18_{18}$ | $17_{19}$ | $16_{20}$ |
| 27 | $11011_2$ | $1000_3$ | $123_4$ | $102_5$ | $43_6$ | n=27 | $36_7$ | $33_8$ | $30_9$ | $27_{10}$ | $25_{11}$ | n=27 | $23_{12}$ | $21_{13}$ | $1d_{14}$ | $1c_{15}$ | $1b_{16}$ | n=27 | $1a_{17}$ | $19_{18}$ | $18_{19}$ | $17_{20}$ |
| 28 | $11100_2$ | $1001_3$ | $130_4$ | $103_5$ | $44_6$ | n=28 | $40_7$ | $34_8$ | $31_9$ | $28_{10}$ | $26_{11}$ | n=28 | $24_{12}$ | $22_{13}$ | $20_{14}$ | $1d_{15}$ | $1c_{16}$ | n=28 | $1b_{17}$ | $1a_{18}$ | $19_{19}$ | $18_{20}$ |
| 29 | $11101_2$ | $1002_3$ | $131_4$ | $104_5$ | $45_6$ | n=29 | $41_7$ | $35_8$ | $32_9$ | $29_{10}$ | $27_{11}$ | n=29 | $25_{12}$ | $23_{13}$ | $21_{14}$ | $1e_{15}$ | $1d_{16}$ | n=29 | $1c_{17}$ | $1b_{18}$ | $1a_{19}$ | $19_{20}$ |
| 30 | $11110_2$ | $1010_3$ | $132_4$ | $110_5$ | $50_6$ | n=30 | $42_7$ | $36_8$ | $33_9$ | $30_{10}$ | $28_{11}$ | n=30 | $26_{12}$ | $24_{13}$ | $22_{14}$ | $20_{15}$ | $1e_{16}$ | n=30 | $1d_{17}$ | $1c_{18}$ | $1b_{19}$ | $1a_{20}$ |
| 31 | $11111_2$ | $1011_3$ | $133_4$ | $111_5$ | $51_6$ | n=31 | $43_7$ | $37_8$ | $34_9$ | $31_{10}$ | $29_{11}$ | n=31 | $27_{12}$ | $25_{13}$ | $23_{14}$ | $21_{15}$ | $1f_{16}$ | n=31 | $1e_{17}$ | $1d_{18}$ | $1c_{19}$ | $1b_{20}$ |
| 32 | $100000_2$ | $1012_3$ | $200_4$ | $112_5$ | $52_6$ | n=32 | $44_7$ | $40_8$ | $35_9$ | $32_{10}$ | $2a_{11}$ | n=32 | $28_{12}$ | $26_{13}$ | $24_{14}$ | $22_{15}$ | $20_{16}$ | n=32 | $1f_{17}$ | $1e_{18}$ | $1d_{19}$ | $1c_{20}$ |
| 33 | $100001_2$ | $1020_3$ | $201_4$ | $113_5$ | $53_6$ | n=33 | $45_7$ | $41_8$ | $36_9$ | $33_{10}$ | $30_{11}$ | n=33 | $29_{12}$ | $27_{13}$ | $25_{14}$ | $23_{15}$ | $21_{16}$ | n=33 | $1g_{17}$ | $1f_{18}$ | $1e_{19}$ | $1d_{20}$ |
| 34 | $100010_2$ | $1021_3$ | $202_4$ | $114_5$ | $54_6$ | n=34 | $46_7$ | $42_8$ | $37_9$ | $34_{10}$ | $31_{11}$ | n=34 | $2a_{12}$ | $28_{13}$ | $26_{14}$ | $24_{15}$ | $22_{16}$ | n=34 | $20_{17}$ | $1g_{18}$ | $1f_{19}$ | $1e_{20}$ |
| 35 | $100011_2$ | $1022_3$ | $203_4$ | $120_5$ | $55_6$ | n=35 | $50_7$ | $43_8$ | $38_9$ | $35_{10}$ | $32_{11}$ | n=35 | $2b_{12}$ | $29_{13}$ | $27_{14}$ | $25_{15}$ | $23_{16}$ | n=35 | $21_{17}$ | $1h_{18}$ | $1g_{19}$ | $1f_{20}$ |
| 36 | $100100_2$ | $1100_3$ | $210_4$ | $121_5$ | $100_6$ | n=36 | $51_7$ | $44_8$ | $40_9$ | $36_{10}$ | $33_{11}$ | n=36 | $30_{12}$ | $2a_{13}$ | $28_{14}$ | $26_{15}$ | $24_{16}$ | n=36 | $22_{17}$ | $20_{18}$ | $1h_{19}$ | $1g_{20}$ |
| 37 | $100101_2$ | $1101_3$ | $211_4$ | $122_5$ | $101_6$ | n=37 | $52_7$ | $45_8$ | $41_9$ | $37_{10}$ | $34_{11}$ | n=37 | $31_{12}$ | $2b_{13}$ | $29_{14}$ | $27_{15}$ | $25_{16}$ | n=37 | $23_{17}$ | $21_{18}$ | $1i_{19}$ | $1h_{20}$ |
| 38 | $100110_2$ | $1102_3$ | $212_4$ | $123_5$ | $102_6$ | n=38 | $53_7$ | $46_8$ | $42_9$ | $38_{10}$ | $35_{11}$ | n=38 | $32_{12}$ | $2c_{13}$ | $2a_{14}$ | $28_{15}$ | $26_{16}$ | n=38 | $24_{17}$ | $22_{18}$ | $20_{19}$ | $1i_{20}$ |
| 39 | $100111_2$ | $1110_3$ | $213_4$ | $124_5$ | $103_6$ | n=39 | $54_7$ | $47_8$ | $43_9$ | $39_{10}$ | $36_{11}$ | n=39 | $33_{12}$ | $30_{13}$ | $2b_{14}$ | $29_{15}$ | $27_{16}$ | n=39 | $25_{17}$ | $23_{18}$ | $21_{19}$ | $1j_{20}$ |
| 40 | $101000_2$ | $1111_3$ | $220_4$ | $130_5$ | $104_6$ | n=40 | $55_7$ | $50_8$ | $44_9$ | $40_{10}$ | $37_{11}$ | n=40 | $34_{12}$ | $31_{13}$ | $2c_{14}$ | $2a_{15}$ | $28_{16}$ | n=40 | $26_{17}$ | $24_{18}$ | $22_{19}$ | $20_{20}$ |
| 41 | $101001_2$ | $1112_3$ | $221_4$ | $131_5$ | $105_6$ | n=41 | $56_7$ | $51_8$ | $45_9$ | $41_{10}$ | $38_{11}$ | n=41 | $35_{12}$ | $32_{13}$ | $2d_{14}$ | $2b_{15}$ | $29_{16}$ | n=41 | $27_{17}$ | $25_{18}$ | $23_{19}$ | $21_{20}$ |
| 42 | $101010_2$ | $1120_3$ | $222_4$ | $132_5$ | $110_6$ | n=42 | $60_7$ | $52_8$ | $46_9$ | $42_{10}$ | $39_{11}$ | n=42 | $36_{12}$ | $33_{13}$ | $30_{14}$ | $2c_{15}$ | $2a_{16}$ | n=42 | $28_{17}$ | $26_{18}$ | $24_{19}$ | $22_{20}$ |
| 43 | $101011_2$ | $1121_3$ | $223_4$ | $133_5$ | $111_6$ | n=43 | $61_7$ | $53_8$ | $47_9$ | $43_{10}$ | $3a_{11}$ | n=43 | $37_{12}$ | $34_{13}$ | $31_{14}$ | $2d_{15}$ | $2b_{16}$ | n=43 | $29_{17}$ | $27_{18}$ | $25_{19}$ | $23_{20}$ |
| 44 | $101100_2$ | $1122_3$ | $230_4$ | $134_5$ | $112_6$ | n=44 | $62_7$ | $54_8$ | $48_9$ | $44_{10}$ | $40_{11}$ | n=44 | $38_{12}$ | $35_{13}$ | $32_{14}$ | $2e_{15}$ | $2c_{16}$ | n=44 | $2a_{17}$ | $28_{18}$ | $26_{19}$ | $24_{20}$ |
| 45 | $101101_2$ | $1200_3$ | $231_4$ | $140_5$ | $113_6$ | n=45 | $63_7$ | $55_8$ | $50_9$ | $45_{10}$ | $41_{11}$ | n=45 | $39_{12}$ | $36_{13}$ | $33_{14}$ | $30_{15}$ | $2d_{16}$ | n=45 | $2b_{17}$ | $29_{18}$ | $27_{19}$ | $25_{20}$ |
| 46 | $101110_2$ | $1201_3$ | $232_4$ | $141_5$ | $114_6$ | n=46 | $64_7$ | $56_8$ | $51_9$ | $46_{10}$ | $42_{11}$ | n=46 | $3a_{12}$ | $37_{13}$ | $34_{14}$ | $31_{15}$ | $2e_{16}$ | n=46 | $2c_{17}$ | $2a_{18}$ | $28_{19}$ | $26_{20}$ |
| 47 | $101111_2$ | $1202_3$ | $233_4$ | $142_5$ | $115_6$ | n=47 | $65_7$ | $57_8$ | $52_9$ | $47_{10}$ | $43_{11}$ | n=47 | $3b_{12}$ | $38_{13}$ | $35_{14}$ | $32_{15}$ | $2f_{16}$ | n=47 | $2d_{17}$ | $2b_{18}$ | $29_{19}$ | $27_{20}$ |
| 48 | $110000_2$ | $1210_3$ | $300_4$ | $143_5$ | $120_6$ | n=48 | $66_7$ | $60_8$ | $53_9$ | $48_{10}$ | $44_{11}$ | n=48 | $40_{12}$ | $39_{13}$ | $36_{14}$ | $33_{15}$ | $30_{16}$ | n=48 | $2e_{17}$ | $2c_{18}$ | $2a_{19}$ | $28_{20}$ |
| 49 | $110001_2$ | $1211_3$ | $301_4$ | $144_5$ | $121_6$ | n=49 | $100_7$ | $61_8$ | $54_9$ | $49_{10}$ | $45_{11}$ | n=49 | $41_{12}$ | $3a_{13}$ | $37_{14}$ | $34_{15}$ | $31_{16}$ | n=49 | $2f_{17}$ | $2d_{18}$ | $2b_{19}$ | $29_{20}$ |
| 50 | $110010_2$ | $1212_3$ | $302_4$ | $200_5$ | $122_6$ | n=50 | $101_7$ | $62_8$ | $55_9$ | $50_{10}$ | $46_{11}$ | n=50 | $42_{12}$ | $3b_{13}$ | $38_{14}$ | $35_{15}$ | $32_{16}$ | n=50 | $2g_{17}$ | $2e_{18}$ | $2c_{19}$ | $2a_{20}$ |
| 51 | $110011_2$ | $1220_3$ | $303_4$ | $201_5$ | $123_6$ | n=51 | $102_7$ | $63_8$ | $56_9$ | $51_{10}$ | $47_{11}$ | n=51 | $43_{12}$ | $3c_{13}$ | $39_{14}$ | $36_{15}$ | $33_{16}$ | n=51 | $30_{17}$ | $2f_{18}$ | $2d_{19}$ | $2b_{20}$ |
| 52 | $110100_2$ | $1221_3$ | $310_4$ | $202_5$ | $124_6$ | n=52 | $103_7$ | $64_8$ | $57_9$ | $52_{10}$ | $48_{11}$ | n=52 | $44_{12}$ | $40_{13}$ | $3a_{14}$ | $37_{15}$ | $34_{16}$ | n=52 | $31_{17}$ | $2g_{18}$ | $2e_{19}$ | $2c_{20}$ |
| 53 | $110101_2$ | $1222_3$ | $311_4$ | $203_5$ | $125_6$ | n=53 | $104_7$ | $65_8$ | $58_9$ | $53_{10}$ | $49_{11}$ | n=53 | $45_{12}$ | $41_{13}$ | $3b_{14}$ | $38_{15}$ | $35_{16}$ | n=53 | $32_{17}$ | $2h_{18}$ | $2f_{19}$ | $2d_{20}$ |
| 54 | $110110_2$ | $2000_3$ | $312_4$ | $204_5$ | $130_6$ | n=54 | $105_7$ | $66_8$ | $60_9$ | $54_{10}$ | $4a_{11}$ | n=54 | $46_{12}$ | $42_{13}$ | $3c_{14}$ | $39_{15}$ | $36_{16}$ | n=54 | $33_{17}$ | $30_{18}$ | $2g_{19}$ | $2e_{20}$ |
| 55 | $110111_2$ | $2001_3$ | $313_4$ | $210_5$ | $131_6$ | n=55 | $106_7$ | $67_8$ | $61_9$ | $55_{10}$ | $50_{11}$ | n=55 | $47_{12}$ | $43_{13}$ | $3d_{14}$ | $3a_{15}$ | $37_{16}$ | n=55 | $34_{17}$ | $31_{18}$ | $2h_{19}$ | $2f_{20}$ |
| 56 | $111000_2$ | $2002_3$ | $320_4$ | $211_5$ | $132_6$ | n=56 | $110_7$ | $70_8$ | $62_9$ | $56_{10}$ | $51_{11}$ | n=56 | $48_{12}$ | $44_{13}$ | $40_{14}$ | $3b_{15}$ | $38_{16}$ | n=56 | $35_{17}$ | $32_{18}$ | $2i_{19}$ | $2g_{20}$ |
| 57 | $111001_2$ | $2010_3$ | $321_4$ | $212_5$ | $133_6$ | n=57 | $111_7$ | $71_8$ | $63_9$ | $57_{10}$ | $52_{11}$ | n=57 | $49_{12}$ | $45_{13}$ | $41_{14}$ | $3c_{15}$ | $39_{16}$ | n=57 | $36_{17}$ | $33_{18}$ | $30_{19}$ | $2h_{20}$ |
| 58 | $111010_2$ | $2011_3$ | $322_4$ | $213_5$ | $134_6$ | n=58 | $112_7$ | $72_8$ | $64_9$ | $58_{10}$ | $53_{11}$ | n=58 | $4a_{12}$ | $46_{13}$ | $42_{14}$ | $3d_{15}$ | $3a_{16}$ | n=58 | $37_{17}$ | $34_{18}$ | $31_{19}$ | $2i_{20}$ |
| 59 | $111011_2$ | $2012_3$ | $323_4$ | $214_5$ | $135_6$ | n=59 | $113_7$ | $73_8$ | $65_9$ | $59_{10}$ | $54_{11}$ | n=59 | $4b_{12}$ | $47_{13}$ | $43_{14}$ | $3e_{15}$ | $3b_{16}$ | n=59 | $38_{17}$ | $35_{18}$ | $32_{19}$ | $2j_{20}$ |
| 60 | $111100_2$ | $2020_3$ | $330_4$ | $220_5$ | $140_6$ | n=60 | $114_7$ | $74_8$ | $66_9$ | $60_{10}$ | $55_{11}$ | n=60 | $50_{12}$ | $48_{13}$ | $44_{14}$ | $40_{15}$ | $3c_{16}$ | n=60 | $39_{17}$ | $36_{18}$ | $33_{19}$ | $30_{20}$ |
| 61 | $111101_2$ | $2021_3$ | $331_4$ | $221_5$ | $141_6$ | n=61 | $115_7$ | $75_8$ | $67_9$ | $61_{10}$ | $56_{11}$ | n=61 | $51_{12}$ | $49_{13}$ | $45_{14}$ | $41_{15}$ | $3d_{16}$ | n=61 | $3a_{17}$ | $37_{18}$ | $34_{19}$ | $31_{20}$ |
| 62 | $111110_2$ | $2022_3$ | $332_4$ | $222_5$ | $142_6$ | n=62 | $116_7$ | $76_8$ | $68_9$ | $62_{10}$ | $57_{11}$ | n=62 | $52_{12}$ | $4a_{13}$ | $46_{14}$ | $42_{15}$ | $3e_{16}$ | n=62 | $3b_{17}$ | $38_{18}$ | $35_{19}$ | $32_{20}$ |
| 63 | $111111_2$ | $2100_3$ | $333_4$ | $223_5$ | $143_6$ | n=63 | $120_7$ | $77_8$ | $70_9$ | $63_{10}$ | $58_{11}$ | n=63 | $53_{12}$ | $4b_{13}$ | $47_{14}$ | $43_{15}$ | $3f_{16}$ | n=63 | $3c_{17}$ | $39_{18}$ | $36_{19}$ | $33_{20}$ |
| 64 | $1000000_2$ | $2101_3$ | $1000_4$ | $224_5$ | $144_6$ | n=64 | $121_7$ | $100_8$ | $71_9$ | $64_{10}$ | $59_{11}$ | n=64 | $54_{12}$ | $4c_{13}$ | $48_{14}$ | $44_{15}$ | $40_{16}$ | n=64 | $3d_{17}$ | $3a_{18}$ | $37_{19}$ | $34_{20}$ |
| 65 | $1000001_2$ | $2102_3$ | $1001_4$ | $230_5$ | $145_6$ | n=65 | $122_7$ | $101_8$ | $72_9$ | $65_{10}$ | $5a_{11}$ | n=65 | $55_{12}$ | $50_{13}$ | $49_{14}$ | $45_{15}$ | $41_{16}$ | n=65 | $3e_{17}$ | $3b_{18}$ | $38_{19}$ | $35_{20}$ |
| 66 | $1000010_2$ | $2110_3$ | $1002_4$ | $231_5$ | $150_6$ | n=66 | $123_7$ | $102_8$ | $73_9$ | $66_{10}$ | $60_{11}$ | n=66 | $56_{12}$ | $51_{13}$ | $4a_{14}$ | $46_{15}$ | $42_{16}$ | n=66 | $3f_{17}$ | $3c_{18}$ | $39_{19}$ | $36_{20}$ |
| 67 | $1000011_2$ | $2111_3$ | $1003_4$ | $232_5$ | $151_6$ | n=67 | $124_7$ | $103_8$ | $74_9$ | $67_{10}$ | $61_{11}$ | n=67 | $57_{12}$ | $52_{13}$ | $4b_{14}$ | $47_{15}$ | $43_{16}$ | n=67 | $3g_{17}$ | $3d_{18}$ | $3a_{19}$ | $37_{20}$ |
| 68 | $1000100_2$ | $2112_3$ | $1010_4$ | $233_5$ | $152_6$ | n=68 | $125_7$ | $104_8$ | $75_9$ | $68_{10}$ | $62_{11}$ | n=68 | $58_{12}$ | $53_{13}$ | $4c_{14}$ | $48_{15}$ | $44_{16}$ | n=68 | $40_{17}$ | $3e_{18}$ | $3b_{19}$ | $38_{20}$ |
| 69 | $1000101_2$ | $2120_3$ | $1011_4$ | $234_5$ | $153_6$ | n=69 | $126_7$ | $105_8$ | $76_9$ | $69_{10}$ | $63_{11}$ | n=69 | $59_{12}$ | $54_{13}$ | $4d_{14}$ | $49_{15}$ | $45_{16}$ | n=69 | $41_{17}$ | $3f_{18}$ | $3c_{19}$ | $39_{20}$ |
| 70 | $1000110_2$ | $2121_3$ | $1012_4$ | $240_5$ | $154_6$ | n=70 | $130_7$ | $106_8$ | $77_9$ | $70_{10}$ | $64_{11}$ | n=70 | $5a_{12}$ | $55_{13}$ | $50_{14}$ | $4a_{15}$ | $46_{16}$ | n=70 | $42_{17}$ | $3g_{18}$ | $3d_{19}$ | $3a_{20}$ |
| 71 | $1000111_2$ | $2122_3$ | $1013_4$ | $241_5$ | $155_6$ | n=71 | $131_7$ | $107_8$ | $78_9$ | $71_{10}$ | $65_{11}$ | n=71 | $5b_{12}$ | $56_{13}$ | $51_{14}$ | $4b_{15}$ | $47_{16}$ | n=71 | $43_{17}$ | $3h_{18}$ | $3e_{19}$ | $3b_{20}$ |
| 72 | $1001000_2$ | $2200_3$ | $1020_4$ | $242_5$ | $200_6$ | n=72 | $132_7$ | $110_8$ | $80_9$ | $72_{10}$ | $66_{11}$ | n=72 | $60_{12}$ | $57_{13}$ | $52_{14}$ | $4c_{15}$ | $48_{16}$ | n=72 | $44_{17}$ | $40_{18}$ | $3f_{19}$ | $3c_{20}$ |
| 73 | $1001001_2$ | $2201_3$ | $1021_4$ | $243_5$ | $201_6$ | n=73 | $133_7$ | $111_8$ | $81_9$ | $73_{10}$ | $67_{11}$ | n=73 | $61_{12}$ | $58_{13}$ | $53_{14}$ | $4d_{15}$ | $49_{16}$ | n=73 | $45_{17}$ | $41_{18}$ | $3g_{19}$ | $3d_{20}$ |
| 74 | $1001010_2$ | $2202_3$ | $1022_4$ | $244_5$ | $202_6$ | n=74 | $134_7$ | $112_8$ | $82_9$ | $74_{10}$ | $68_{11}$ | n=74 | $62_{12}$ | $59_{13}$ | $54_{14}$ | $4e_{15}$ | $4a_{16}$ | n=74 | $46_{17}$ | $42_{18}$ | $3h_{19}$ | $3e_{20}$ |
| 75 | $1001011_2$ | $2210_3$ | $1023_4$ | $300_5$ | $203_6$ | n=75 | $135_7$ | $113_8$ | $83_9$ | $75_{10}$ | $69_{11}$ | n=75 | $63_{12}$ | $5a_{13}$ | $55_{14}$ | $50_{15}$ | $4b_{16}$ | n=75 | $47_{17}$ | $43_{18}$ | $3i_{19}$ | $3f_{20}$ |
| 76 | $1001100_2$ | $2211_3$ | $1030_4$ | $301_5$ | $204_6$ | n=76 | $136_7$ | $114_8$ | $84_9$ | $76_{10}$ | $6a_{11}$ | n=76 | $64_{12}$ | $5b_{13}$ | $56_{14}$ | $51_{15}$ | $4c_{16}$ | n=76 | $48_{17}$ | $44_{18}$ | $40_{19}$ | $3g_{20}$ |
| 77 | $1001101_2$ | $2212_3$ | $1031_4$ | $302_5$ | $205_6$ | n=77 | $140_7$ | $115_8$ | $85_9$ | $77_{10}$ | $70_{11}$ | n=77 | $65_{12}$ | $5c_{13}$ | $57_{14}$ | $52_{15}$ | $4d_{16}$ | n=77 | $49_{17}$ | $45_{18}$ | $41_{19}$ | $3h_{20}$ |
| 78 | $1001110_2$ | $2220_3$ | $1032_4$ | $303_5$ | $210_6$ | n=78 | $141_7$ | $116_8$ | $86_9$ | $78_{10}$ | $71_{11}$ | n=78 | $66_{12}$ | $60_{13}$ | $58_{14}$ | $53_{15}$ | $4e_{16}$ | n=78 | $4a_{17}$ | $46_{18}$ | $42_{19}$ | $3i_{20}$ |
| 79 | $1001111_2$ | $2221_3$ | $1033_4$ | $304_5$ | $211_6$ | n=79 | $142_7$ | $117_8$ | $87_9$ | $79_{10}$ | $72_{11}$ | n=79 | $67_{12}$ | $61_{13}$ | $59_{14}$ | $54_{15}$ | $4f_{16}$ | n=79 | $4b_{17}$ | $47_{18}$ | $43_{19}$ | $3j_{20}$ |
| 80 | $1010000_2$ | $2222_3$ | $1100_4$ | $310_5$ | $212_6$ | n=80 | $143_7$ | $120_8$ | $88_9$ | $80_{10}$ | $73_{11}$ | n=80 | $68_{12}$ | $62_{13}$ | $5a_{14}$ | $55_{15}$ | $50_{16}$ | n=80 | $4c_{17}$ | $48_{18}$ | $44_{19}$ | $40_{20}$ |
| 81 | $1010001_2$ | $10000_3$ | $1101_4$ | $311_5$ | $213_6$ | n=81 | $144_7$ | $121_8$ | $100_9$ | $81_{10}$ | $74_{11}$ | n=81 | $69_{12}$ | $63_{13}$ | $5b_{14}$ | $56_{15}$ | $51_{16}$ | n=81 | $4d_{17}$ | $49_{18}$ | $45_{19}$ | $41_{20}$ |
| 82 | $1010010_2$ | $10001_3$ | $1102_4$ | $312_5$ | $214_6$ | n=82 | $145_7$ | $122_8$ | $101_9$ | $82_{10}$ | $75_{11}$ | n=82 | $6a_{12}$ | $64_{13}$ | $5c_{14}$ | $57_{15}$ | $52_{16}$ | n=82 | $4e_{17}$ | $4a_{18}$ | $46_{19}$ | $42_{20}$ |
| 83 | $1010011_2$ | $10002_3$ | $1103_4$ | $313_5$ | $215_6$ | n=83 | $146_7$ | $123_8$ | $102_9$ | $83_{10}$ | $76_{11}$ | n=83 | $6b_{12}$ | $65_{13}$ | $5d_{14}$ | $58_{15}$ | $53_{16}$ | n=83 | $4f_{17}$ | $4b_{18}$ | $47_{19}$ | $43_{20}$ |
| 84 | $1010100_2$ | $10010_3$ | $1110_4$ | $314_5$ | $220_6$ | n=84 | $150_7$ | $124_8$ | $103_9$ | $84_{10}$ | $77_{11}$ | n=84 | $70_{12}$ | $66_{13}$ | $60_{14}$ | $59_{15}$ | $54_{16}$ | n=84 | $4g_{17}$ | $4c_{18}$ | $48_{19}$ | $44_{20}$ |
| 85 | $1010101_2$ | $10011_3$ | $1111_4$ | $320_5$ | $221_6$ | n=85 | $151_7$ | $125_8$ | $104_9$ | $85_{10}$ | $78_{11}$ | n=85 | $71_{12}$ | $67_{13}$ | $61_{14}$ | $5a_{15}$ | $55_{16}$ | n=85 | $50_{17}$ | $4d_{18}$ | $49_{19}$ | $45_{20}$ |
| 86 | $1010110_2$ | $10012_3$ | $1112_4$ | $321_5$ | $222_6$ | n=86 | $152_7$ | $126_8$ | $105_9$ | $86_{10}$ | $79_{11}$ | n=86 | $72_{12}$ | $68_{13}$ | $62_{14}$ | $5b_{15}$ | $56_{16}$ | n=86 | $51_{17}$ | $4e_{18}$ | $4a_{19}$ | $46_{20}$ |
| 87 | $1010111_2$ | $10020_3$ | $1113_4$ | $322_5$ | $223_6$ | n=87 | $153_7$ | $127_8$ | $106_9$ | $87_{10}$ | $7a_{11}$ | n=87 | $73_{12}$ | $69_{13}$ | $63_{14}$ | $5c_{15}$ | $57_{16}$ | n=87 | $52_{17}$ | $4f_{18}$ | $4b_{19}$ | $47_{20}$ |
| 88 | $1011000_2$ | $10021_3$ | $1120_4$ | $323_5$ | $224_6$ | n=88 | $154_7$ | $130_8$ | $107_9$ | $88_{10}$ | $80_{11}$ | n=88 | $74_{12}$ | $6a_{13}$ | $64_{14}$ | $5d_{15}$ | $58_{16}$ | n=88 | $53_{17}$ | $4g_{18}$ | $4c_{19}$ | $48_{20}$ |
| 89 | $1011001_2$ | $10022_3$ | $1121_4$ | $324_5$ | $225_6$ | n=89 | $155_7$ | $131_8$ | $108_9$ | $89_{10}$ | $81_{11}$ | n=89 | $75_{12}$ | $6b_{13}$ | $65_{14}$ | $5e_{15}$ | $59_{16}$ | n=89 | $54_{17}$ | $4h_{18}$ | $4d_{19}$ | $49_{20}$ |
| 90 | $1011010_2$ | $10100_3$ | $1122_4$ | $330_5$ | $230_6$ | n=90 | $156_7$ | $132_8$ | $110_9$ | $90_{10}$ | $82_{11}$ | n=90 | $76_{12}$ | $6c_{13}$ | $66_{14}$ | $60_{15}$ | $5a_{16}$ | n=90 | $55_{17}$ | $50_{18}$ | $4e_{19}$ | $4a_{20}$ |
| 91 | $1011011_2$ | $10101_3$ | $1123_4$ | $331_5$ | $231_6$ | n=91 | $160_7$ | $133_8$ | $111_9$ | $91_{10}$ | $83_{11}$ | n=91 | $77_{12}$ | $70_{13}$ | $67_{14}$ | $61_{15}$ | $5b_{16}$ | n=91 | $56_{17}$ | $51_{18}$ | $4f_{19}$ | $4b_{20}$ |
| 92 | $1011100_2$ | $10102_3$ | $1130_4$ | $332_5$ | $232_6$ | n=92 | $161_7$ | $134_8$ | $112_9$ | $92_{10}$ | $84_{11}$ | n=92 | $78_{12}$ | $71_{13}$ | $68_{14}$ | $62_{15}$ | $5c_{16}$ | n=92 | $57_{17}$ | $52_{18}$ | $4g_{19}$ | $4c_{20}$ |
| 93 | $1011101_2$ | $10110_3$ | $1131_4$ | $333_5$ | $233_6$ | n=93 | $162_7$ | $135_8$ | $113_9$ | $93_{10}$ | $85_{11}$ | n=93 | $79_{12}$ | $72_{13}$ | $69_{14}$ | $63_{15}$ | $5d_{16}$ | n=93 | $58_{17}$ | $53_{18}$ | $4h_{19}$ | $4d_{20}$ |
| 94 | $1011110_2$ | $10111_3$ | $1132_4$ | $334_5$ | $234_6$ | n=94 | $163_7$ | $136_8$ | $114_9$ | $94_{10}$ | $86_{11}$ | n=94 | $7a_{12}$ | $73_{13}$ | $6a_{14}$ | $64_{15}$ | $5e_{16}$ | n=94 | $59_{17}$ | $54_{18}$ | $4i_{19}$ | $4e_{20}$ |
| 95 | $1011111_2$ | $10112_3$ | $1133_4$ | $340_5$ | $235_6$ | n=95 | $164_7$ | $137_8$ | $115_9$ | $95_{10}$ | $87_{11}$ | n=95 | $7b_{12}$ | $74_{13}$ | $6b_{14}$ | $65_{15}$ | $5f_{16}$ | n=95 | $5a_{17}$ | $55_{18}$ | $50_{19}$ | $4f_{20}$ |
| 96 | $1100000_2$ | $10120_3$ | $1200_4$ | $341_5$ | $240_6$ | n=96 | $165_7$ | $140_8$ | $116_9$ | $96_{10}$ | $88_{11}$ | n=96 | $80_{12}$ | $75_{13}$ | $6c_{14}$ | $66_{15}$ | $60_{16}$ | n=96 | $5b_{17}$ | $56_{18}$ | $51_{19}$ | $4g_{20}$ |
| 97 | $1100001_2$ | $10121_3$ | $1201_4$ | $342_5$ | $241_6$ | n=97 | $166_7$ | $141_8$ | $117_9$ | $97_{10}$ | $89_{11}$ | n=97 | $81_{12}$ | $76_{13}$ | $6d_{14}$ | $67_{15}$ | $61_{16}$ | n=97 | $5c_{17}$ | $57_{18}$ | $52_{19}$ | $4h_{20}$ |
| 98 | $1100010_2$ | $10122_3$ | $1202_4$ | $343_5$ | $242_6$ | n=98 | $200_7$ | $142_8$ | $118_9$ | $98_{10}$ | $8a_{11}$ | n=98 | $82_{12}$ | $77_{13}$ | $70_{14}$ | $68_{15}$ | $62_{16}$ | n=98 | $5d_{17}$ | $58_{18}$ | $53_{19}$ | $4i_{20}$ |
| 99 | $1100011_2$ | $10200_3$ | $1203_4$ | $344_5$ | $243_6$ | n=99 | $201_7$ | $143_8$ | $120_9$ | $99_{10}$ | $90_{11}$ | n=99 | $83_{12}$ | $78_{13}$ | $71_{14}$ | $69_{15}$ | $63_{16}$ | n=99 | $5e_{17}$ | $59_{18}$ | $54_{19}$ | $4j_{20}$ |
| 100 | $1100100_2$ | $10201_3$ | $1210_4$ | $400_5$ | $244_6$ | n=100 | $202_7$ | $144_8$ | $121_9$ | $100_{10}$ | $91_{11}$ | n=100 | $84_{12}$ | $79_{13}$ | $72_{14}$ | $6a_{15}$ | $64_{16}$ | n=100 | $5f_{17}$ | $5a_{18}$ | $55_{19}$ | $50_{20}$ |
