Transfer 0.577 from decimal in binary number system

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Translate the number 0.57710 в binary like this:

the Fractional part of the number is multiplied by the base of the new number system:

 Transferring numbers from one number system to another
0.577*2
1.154*2
0.308*2
0.616*2
1.232*2
0.464*2
0.928*2
1.856*2
1.712*2
1.424*2
0.848*2

the result of the conversion was:

0.57710 = 0.10010011102
the Final answer: 0.57710 = 0.10010011102
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