Translate the number 225.67510 в binary like this:
the Integer part of the number is divided by the base of the new number system:
225 | 2 | | | | | | | |
-224 | 112 | 2 | | | | | | |
1 | -112 | 56 | 2 | | | | | |
| 0 | -56 | 28 | 2 | | | | |
| | 0 | -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. | 675*2 |
1 | .35*2 |
0 | .7*2 |
1 | .4*2 |
0 | .8*2 |
1 | .6*2 |
1 | .2*2 |
0 | .4*2 |
0 | .8*2 |
1 | .6*2 |
1 | .2*2 |
the result of the conversion was:
225.67510 = 11100001.10101100112
the Final answer: 225.67510 = 11100001.10101100112