let\'s translate to decimal like this:
1∙11.00000+1∙11.0000-1+1∙11.0000-2+1∙11.0000-3+1∙11.0000-4 = 1∙1+1∙0.090909090909091+1∙0.0082644628099174+1∙0.00075131480090158+1∙6.8301345536507E-5 = 1+0.090909090909091+0.0082644628099174+0.00075131480090158+6.8301345536507E-5 = 1.09999316986544610
got It: 1.111111.0000 =1.09999316986544610
Translate the number 1.09999316986544610 в 11.0000 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 099993169865446*11.0000 |
| 1 | .09992*11.0000 |
| 1 | .09917*11.0000 |
| 1 | .09091*11.0000 |
| 0 | .0*11.0000 |
| A | .0*11.0000 |
| A | .0*11.0000 |
| A | .0*11.0000 |
| A | .0*11.0000 |
| A | .0*11.0000 |
| A | .99999*11.0000 |
the result of the conversion was:
1.09999316986544610 = 1.1110AAAAAA11.0000
the Final answer: 1.111111.0000 = 1.1110AAAAAA11.0000