let\'s translate to decimal like this:
1∙23+0∙22+1∙21+1∙20+1∙2-1+1∙2-2+0∙2-3+1∙2-4 = 1∙8+0∙4+1∙2+1∙1+1∙0.5+1∙0.25+0∙0.125+1∙0.0625 = 8+0+2+1+0.5+0.25+0+0.0625 = 11.812510
got It: 1011.11012 =11.812510
Translate the number 11.812510 в ternary like this:
the Integer part of the number is divided by the base of the new number system:
11 | 3 | | |
-9 | 3 | 3 | |
2 | -3 | 1 | |
| 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 8125*3 |
2 | .4375*3 |
1 | .3125*3 |
0 | .9375*3 |
2 | .8125*3 |
2 | .4375*3 |
1 | .3125*3 |
0 | .9375*3 |
2 | .8125*3 |
2 | .4375*3 |
1 | .3125*3 |
the result of the conversion was:
11.812510 = 102.21022102213
the Final answer: 1011.11012 = 102.21022102213