let\'s translate to decimal like this:
4∙161+5∙160+4∙16-1+5∙16-2 = 4∙16+5∙1+4∙0.0625+5∙0.00390625 = 64+5+0.25+0.01953125 = 69.2695312510
got It: 45.4516 =69.2695312510
Translate the number 69.2695312510 в 4 - false like this:
the Integer part of the number is divided by the base of the new number system:
69 | 4 | | | |
-68 | 17 | 4 | | |
1 | -16 | 4 | 4 | |
| 1 | -4 | 1 | |
| | 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 26953125*4 |
1 | .07813*4 |
0 | .3125*4 |
1 | .25*4 |
1 | .0*4 |
the result of the conversion was:
69.2695312510 = 1011.10114
the Final answer: 45.4516 = 1011.10114