let\'s translate to decimal like this:
1∙11.0000000000000037500+10∙11.000000000000003750-1+10∙11.000000000000003750-2+10∙11.000000000000003750-3+10∙11.000000000000003750-4+10∙11.000000000000003750-5+10∙11.000000000000003750-6+10∙11.000000000000003750-7+11∙11.000000000000003750-8 = 1∙1+10∙0.090909090909091+10∙0.0082644628099174+10∙0.00075131480090158+10∙6.8301345536507E-5+10∙6.2092132305915E-6+10∙5.6447393005378E-7+10∙5.1315811823071E-8+11∙4.6650738020973E-9 = 1+0.90909090909091+0.082644628099174+0.0075131480090158+0.00068301345536507+6.2092132305915E-5+5.6447393005378E-6+5.1315811823071E-7+5.1315811823071E-8 = 1.110
got It: 1.aaaaaaab11.000000000000003750 =1.110
Translate the number 1.110 в 4 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
 |
| 0. | 1*4 |
| 0 | .4*4 |
| 1 | .6*4 |
| 2 | .4*4 |
| 1 | .6*4 |
| 2 | .4*4 |
| 1 | .6*4 |
| 2 | .4*4 |
| 1 | .6*4 |
| 2 | .4*4 |
| 1 | .6*4 |
the result of the conversion was:
1.110 = 1.01212121214
the Final answer: 1.aaaaaaab11.000000000000003750 = 1.01212121214