let\'s translate to decimal like this:
1∙11.00000+8∙11.0000-1+0∙11.0000-2+0∙11.0000-3+0∙11.0000-4+0∙11.0000-5+0∙11.0000-6+0∙11.0000-7+0∙11.0000-8+0∙11.0000-9+0∙11.0000-10+0∙11.0000-11+0∙11.0000-12+0∙11.0000-13+0∙11.0000-14+0∙11.0000-15+0∙11.0000-16+0∙11.0000-17+0∙11.0000-18+0∙11.0000-19 = 1∙1+8∙0.090909090909091+0∙0.0082644628099174+0∙0.00075131480090158+0∙6.8301345536507E-5+0∙6.2092132305916E-6+0∙5.6447393005378E-7+0∙5.1315811823071E-8+0∙4.6650738020973E-9+0∙4.2409761837248E-10+0∙3.8554328942953E-11+0∙3.5049389948139E-12+0∙3.1863081771036E-13+0∙2.8966437973669E-14+0∙2.6333125430608E-15+0∙2.3939204936916E-16+0∙2.1762913579015E-17+0∙1.9784466890014E-18+0∙1.7985878990921E-19+0∙1.6350799082656E-20 = 1+0.72727272727273+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0+0 = 1.7272727272727310
got It: 1.800000000000000000011.0000 =1.7272727272727310
Translate the number 1.7272727272727310 в 5.18181818181819 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 72727272727273*5.18181818181819 |
| 3 | .7686*5.18181818181819 |
| 3 | .98272*5.18181818181819 |
| 5 | .09228*5.18181818181819 |
| 0 | .47815*5.18181818181819 |
| 2 | .4777*5.18181818181819 |
| 2 | .47536*5.18181818181819 |
| 2 | .46324*5.18181818181819 |
| 2 | .4004*5.18181818181819 |
| 2 | .07482*5.18181818181819 |
| 0 | .38771*5.18181818181819 |
the result of the conversion was:
1.7272727272727310 = 1.33502222205.18181818181819
the Final answer: 1.800000000000000000011.0000 = 1.33502222205.18181818181819