let\'s translate to decimal like this:
1∙43+3∙42+0∙41+2∙40+0∙4-1+3∙4-2+1∙4-3 = 1∙64+3∙16+0∙4+2∙1+0∙0.25+3∙0.0625+1∙0.015625 = 64+48+0+2+0+0.1875+0.015625 = 114.20312510
got It: 1302.0314 =114.20312510
Translate the number 114.20312510 в 2 - false like this:
the Integer part of the number is divided by the base of the new number system:
114 | 2 | | | | | | |
-114 | 57 | 2 | | | | | |
0 | -56 | 28 | 2 | | | | |
| 1 | -28 | 14 | 2 | | | |
| | 0 | -14 | 7 | 2 | | |
| | | 0 | -6 | 3 | 2 | |
| | | | 1 | -2 | 1 | |
| | | | | 1 | | |
|
the Fractional part of the number is multiplied by the base of the new number system:
|
0. | 203125*2 |
0 | .40625*2 |
0 | .8125*2 |
1 | .625*2 |
1 | .25*2 |
0 | .5*2 |
1 | .0*2 |
the result of the conversion was:
114.20312510 = 1110010.0011012
answer: 1302.0314 = 1110010.0011012