# Transfer 806.8125 from 10 - rich in binary number system

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let\'s translate to decimal like this:

8∙102+0∙101+6∙100+8∙10-1+1∙10-2+2∙10-3+5∙10-4 = 8∙100+0∙10+6∙1+8∙0.1+1∙0.01+2∙0.001+5∙0.0001 = 800+0+6+0.8+0.01+0.002+0.0005 = 806.812510

got It: 806.812510 =806.812510

Translate the number 806.812510 в binary like this:

the Integer part of the number is divided by the base of the new number system:

 806 2 -806 403 2 0 -402 201 2 1 -200 100 2 1 -100 50 2 0 -50 25 2 0 -24 12 2 1 -12 6 2 0 -6 3 2 0 -2 1 1

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

 0. 8125*2 1 .625*2 1 .25*2 0 .5*2 1 .0*2

the result of the conversion was:

806.812510 = 1100100110.11012
the Final answer: 806.812510 = 1100100110.11012
Permanent link to the result of this calculation

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