Выполним перевод в десятичную систему счисления вот так:
1∙811+1∙810+0∙89+1∙88+0∙87+0∙86+1∙85+0∙84+0∙83+1∙82+1∙81+0∙80 = 1∙8589934592+1∙1073741824+0∙134217728+1∙16777216+0∙2097152+0∙262144+1∙32768+0∙4096+0∙512+1∙64+1∙8+0∙1 = 8589934592+1073741824+0+16777216+0+0+32768+0+0+64+8+0 = 968048647210
Получилось: 1101001001108 =968048647210
Переведем число 968048647210 в троичное вот так:
Целая часть числа находится делением на основание новой системы счисления:
9680486472 | 3 | | | | | | | | | | | | | | | | | | | | |
-9680486472 | 3226828824 | 3 | | | | | | | | | | | | | | | | | | | |
0 | -3226828824 | 1075609608 | 3 | | | | | | | | | | | | | | | | | | |
| 0 | -1075609608 | 358536536 | 3 | | | | | | | | | | | | | | | | | |
| | 0 | -358536534 | 119512178 | 3 | | | | | | | | | | | | | | | | |
| | | 2 | -119512176 | 39837392 | 3 | | | | | | | | | | | | | | | |
| | | | 2 | -39837390 | 13279130 | 3 | | | | | | | | | | | | | | |
| | | | | 2 | -13279128 | 4426376 | 3 | | | | | | | | | | | | | |
| | | | | | 2 | -4426374 | 1475458 | 3 | | | | | | | | | | | | |
| | | | | | | 2 | -1475457 | 491819 | 3 | | | | | | | | | | | |
| | | | | | | | 1 | -491817 | 163939 | 3 | | | | | | | | | | |
| | | | | | | | | 2 | -163938 | 54646 | 3 | | | | | | | | | |
| | | | | | | | | | 1 | -54645 | 18215 | 3 | | | | | | | | |
| | | | | | | | | | | 1 | -18213 | 6071 | 3 | | | | | | | |
| | | | | | | | | | | | 2 | -6069 | 2023 | 3 | | | | | | |
| | | | | | | | | | | | | 2 | -2022 | 674 | 3 | | | | | |
| | | | | | | | | | | | | | 1 | -672 | 224 | 3 | | | | |
| | | | | | | | | | | | | | | 2 | -222 | 74 | 3 | | | |
| | | | | | | | | | | | | | | | 2 | -72 | 24 | 3 | | |
| | | | | | | | | | | | | | | | | 2 | -24 | 8 | 3 | |
| | | | | | | | | | | | | | | | | | 0 | -6 | 2 | |
| | | | | | | | | | | | | | | | | | | 2 | | |
 |
В результате преобразования получилось:
968048647210 = 2202221221121222220003
Окончательный ответ: 1101001001108 = 2202221221121222220003