let\'s translate to decimal like this:
2∙43+3∙42+1∙41+2∙40+0∙4-1+3∙4-2 = 2∙64+3∙16+1∙4+2∙1+0∙0.25+3∙0.0625 = 128+48+4+2+0+0.1875 = 182.187510
got It: 2312.034 =182.187510
Translate the number 182.187510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
182 | 2 | | | | | | | |
-182 | 91 | 2 | | | | | | |
0 | -90 | 45 | 2 | | | | | |
| 1 | -44 | 22 | 2 | | | | |
| | 1 | -22 | 11 | 2 | | | |
| | | 0 | -10 | 5 | 2 | | |
| | | | 1 | -4 | 2 | 2 | |
| | | | | 1 | -2 | 1 | |
| | | | | | 0 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 1875*2 |
0 | .375*2 |
0 | .75*2 |
1 | .5*2 |
1 | .0*2 |
the result of the conversion was:
182.187510 = 10110110.00112
the Final answer: 2312.034 = 10110110.00112