let\'s translate to decimal like this:
3∙82+7∙81+5∙80+5∙8-1+4∙8-2 = 3∙64+7∙8+5∙1+5∙0.125+4∙0.015625 = 192+56+5+0.625+0.0625 = 253.687510
got It: 375.548 =253.687510
Translate the number 253.687510 в ternary like this:
the Integer part of the number is divided by the base of the new number system:
253 | 3 | | | | | |
-252 | 84 | 3 | | | | |
1 | -84 | 28 | 3 | | | |
| 0 | -27 | 9 | 3 | | |
| | 1 | -9 | 3 | 3 | |
| | | 0 | -3 | 1 | |
| | | | 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 6875*3 |
2 | .0625*3 |
0 | .1875*3 |
0 | .5625*3 |
1 | .6875*3 |
2 | .0625*3 |
0 | .1875*3 |
0 | .5625*3 |
1 | .6875*3 |
2 | .0625*3 |
0 | .1875*3 |
the result of the conversion was:
253.687510 = 100101.20012001203
the Final answer: 375.548 = 100101.20012001203