let\'s translate to decimal like this:
10∙11.00000+10∙11.0000-1+10∙11.0000-2+10∙11.0000-3+10∙11.0000-4+10∙11.0000-5+10∙11.0000-6+10∙11.0000-7+10∙11.0000-8+10∙11.0000-9+10∙11.0000-10 = 10∙1+10∙0.090909090909091+10∙0.0082644628099174+10∙0.00075131480090158+10∙6.8301345536507E-5+10∙6.2092132305916E-6+10∙5.6447393005378E-7+10∙5.1315811823071E-8+10∙4.6650738020973E-9+10∙4.2409761837248E-10+10∙3.8554328942953E-11 = 10+0.90909090909091+0.082644628099174+0.0075131480090158+0.00068301345536507+6.2092132305916E-5+5.6447393005378E-6+5.1315811823071E-7+4.6650738020973E-8+4.2409761837248E-9+3.8554328942953E-10 = 10.9999999999614510
got It: A.aaaaaaaaaa11.0000 =10.9999999999614510
Translate the number 10.9999999999614510 в 11.0000 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 99999999996145*11.0000 |
| A | .0*11.0000 |
| A | .0*11.0000 |
| A | .0*11.0000 |
| A | .0*11.0000 |
| A | .99999*11.0000 |
| A | .99993*11.0000 |
| A | .99925*11.0000 |
| A | .99174*11.0000 |
| A | .9091*11.0000 |
| A | .00011*11.0000 |
the result of the conversion was:
10.9999999999614510 = A.AAAAAAAAAA11.0000
the Final answer: A.aaaaaaaaaa11.0000 = A.AAAAAAAAAA11.0000