let\'s translate to decimal like this:
2∙10.5000010+10∙10.500001-1+5∙10.500001-2+0∙10.500001-3+0∙10.500001-4+0∙10.500001-5+0∙10.500001-6+0∙10.500001-7+0∙10.500001-8+0∙10.500001-9 = 2∙1+10∙0.095238086167801+5∙0.0090702930569055+0∙0.00086383735172078+0∙8.2270216138149E-5+0∙7.8352579336087E-6+0∙7.4621497022797E-7+0∙7.1068085634275E-8+0∙6.7683884634178E-9+0∙6.4460836369613E-10 = 2+0.95238086167801+0.045351465284528+0+0+0+0+0+0+0 = 2.9977323269625410
got It: 2.a5000000010.500001 =2.9977323269625410
Translate the number 2.9977323269625410 в 3.0000 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 99773232696254*3.0000 |
| 2 | .9932*3.0000 |
| 2 | .97959*3.0000 |
| 2 | .93877*3.0000 |
| 2 | .81632*3.0000 |
| 2 | .44896*3.0000 |
| 1 | .34687*3.0000 |
| 1 | .0406*3.0000 |
| 0 | .1218*3.0000 |
| 0 | .36539*3.0000 |
| 1 | .09617*3.0000 |
the result of the conversion was:
2.9977323269625410 = 2.22222110013.0000
the Final answer: 2.a5000000010.500001 = 2.22222110013.0000