Transfer A.aaaaaaaaaaaaaaaaaaaaaaaaa from 11.0000 - rich in 11.0000 - Richard number system

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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∙11.0000-11+10∙11.0000-12+10∙11.0000-13+10∙11.0000-14+10∙11.0000-15+10∙11.0000-16+10∙11.0000-17+10∙11.0000-18+10∙11.0000-19+10∙11.0000-20+10∙11.0000-21+10∙11.0000-22+10∙11.0000-23+10∙11.0000-24+10∙11.0000-25 = 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∙3.5049389948139E-12+10∙3.1863081771036E-13+10∙2.8966437973669E-14+10∙2.6333125430608E-15+10∙2.3939204936916E-16+10∙2.1762913579015E-17+10∙1.9784466890014E-18+10∙1.7985878990921E-19+10∙1.6350799082656E-20+10∙1.4864362802414E-21+10∙1.3513057093104E-22+10∙1.2284597357367E-23+10∙1.1167815779425E-24+10∙1.0152559799477E-25+10∙9.2295998177064E-27 = 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+3.5049389948139E-11+3.1863081771036E-12+2.8966437973669E-13+2.6333125430608E-14+2.3939204936916E-15+2.1762913579015E-16+1.9784466890014E-17+1.7985878990921E-18+1.6350799082656E-19+1.4864362802414E-20+1.3513057093104E-21+1.2284597357367E-22+1.1167815779425E-23+1.0152559799477E-24+9.2295998177064E-26 = 10.110

got It: A.aaaaaaaaaaaaaaaaaaaaaaaaa11.0000 =10.110

Translate the number 10.110 в 11.0000 - false like this:

the Fractional part of the number is multiplied by the base of the new number system:

Transferring numbers from one number system to another
0.1*11.0000
1.1*11.0000
1.1*11.0000
1.1*11.0000
1.1*11.0000
1.1*11.0000
1.1*11.0000
1.1*11.0000
1.1*11.0000
1.1*11.0000
1.1*11.0000

the result of the conversion was:

10.110 = A.111111111111.0000
the Final answer: A.aaaaaaaaaaaaaaaaaaaaaaaaa11.0000 = A.111111111111.0000
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