let\'s translate to decimal like this:
0∙50+1∙5-1+1∙5-2+1∙5-3+1∙5-4+1∙5-5+1∙5-6+1∙5-7+1∙5-8+1∙5-9+1∙5-10+1∙5-11+1∙5-12+1∙5-13+1∙5-14+1∙5-15+1∙5-16+1∙5-17+1∙5-18 = 0∙1+1∙0.2+1∙0.04+1∙0.008+1∙0.0016+1∙0.00032+1∙6.4E-5+1∙1.28E-5+1∙2.56E-6+1∙5.12E-7+1∙1.024E-7+1∙2.048E-8+1∙4.096E-9+1∙8.192E-10+1∙1.6384E-10+1∙3.2768E-11+1∙6.5536E-12+1∙1.31072E-12+1∙2.62144E-13 = 0+0.2+0.04+0.008+0.0016+0.00032+6.4E-5+1.28E-5+2.56E-6+5.12E-7+1.024E-7+2.048E-8+4.096E-9+8.192E-10+1.6384E-10+3.2768E-11+6.5536E-12+1.31072E-12+2.62144E-13 = 0.2499999999999310
got It: 0.1111111111111111115 =0.2499999999999310
Translate the number 0.2499999999999310 в 6 - false like this:
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 24999999999993*6 |
1 | .5*6 |
2 | .0*6 |
5 | .0*6 |
5 | .0*6 |
5 | .0*6 |
5 | .0*6 |
5 | .0*6 |
5 | .0*6 |
5 | .0*6 |
5 | .0*6 |
the result of the conversion was:
0.2499999999999310 = 0.12555555556
answer: 0.1111111111111111115 = 0.12555555556