let\'s translate to decimal like this:
1∙11.00000000000000037500+10∙11.0000000000000003750-1+10∙11.0000000000000003750-2+10∙11.0000000000000003750-3+10∙11.0000000000000003750-4+10∙11.0000000000000003750-5+10∙11.0000000000000003750-6+10∙11.0000000000000003750-7 = 1∙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 = 1+0.90909090909091+0.082644628099174+0.0075131480090158+0.00068301345536507+6.2092132305916E-5+5.6447393005378E-6+5.1315811823071E-7 = 1.9999999486841910
got It: 1.aaaaaaa11.0000000000000003750 =1.9999999486841910
Translate the number 1.9999999486841910 в 6 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 99999994868419*6 |
| 5 | .0*6 |
| 5 | .0*6 |
| 5 | .99999*6 |
| 5 | .99993*6 |
| 5 | .9996*6 |
| 5 | .99761*6 |
| 5 | .98563*6 |
| 5 | .91381*6 |
| 5 | .48285*6 |
| 2 | .89713*6 |
the result of the conversion was:
1.9999999486841910 = 1.55555555526
the Final answer: 1.aaaaaaa11.0000000000000003750 = 1.55555555526