let\'s translate to decimal like this:
2∙10.5000000+10∙10.500000-1+0∙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 = 2∙1+10∙0.095238095238095+0∙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 = 2+0.95238095238095+0+0+0+0+0+0+0 = 2.9523809523809510
got It: 2.a000000010.500000 =2.9523809523809510
Translate the number 2.9523809523809510 в 3.0000 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 95238095238095*3.0000 |
| 2 | .85714*3.0000 |
| 2 | .57143*3.0000 |
| 1 | .71429*3.0000 |
| 2 | .14286*3.0000 |
| 0 | .42857*3.0000 |
| 1 | .28571*3.0000 |
| 0 | .85714*3.0000 |
| 2 | .57143*3.0000 |
| 1 | .71429*3.0000 |
| 2 | .14286*3.0000 |
the result of the conversion was:
2.9523809523809510 = 2.22120102123.0000
the Final answer: 2.a000000010.500000 = 2.22120102123.0000