let\'s translate to decimal like this:
2∙10.5000000+10∙10.500000-1+5∙10.500000-2+0∙10.500000-3+0∙10.500000-4+0∙10.500000-5+0∙10.500000-6+0∙10.500000-7+0∙10.500000-8+0∙10.500000-9 = 2∙1+10∙0.095238095238095+5∙0.0090702947845805+0∙0.00086383759853148+0∙8.2270247479188E-5+0∙7.8352616646846E-6+0∙7.4621539663663E-7+0∙7.1068133013012E-8+0∙6.7683936202869E-9+0∙6.446089162178E-10 = 2+0.95238095238095+0.045351473922902+0+0+0+0+0+0+0 = 2.9977324263038510
got It: 2.a5000000010.500000 =2.9977324263038510
Translate the number 2.9977324263038510 в 3.0000 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 99773242630385*3.0000 |
| 2 | .9932*3.0000 |
| 2 | .97959*3.0000 |
| 2 | .93878*3.0000 |
| 2 | .81633*3.0000 |
| 2 | .44898*3.0000 |
| 1 | .34694*3.0000 |
| 1 | .04082*3.0000 |
| 0 | .12245*3.0000 |
| 0 | .36735*3.0000 |
| 1 | .10204*3.0000 |
the result of the conversion was:
2.9977324263038510 = 2.22222110013.0000
the Final answer: 2.a5000000010.500000 = 2.22222110013.0000