# Transfer 17.54 from octal in binary number system

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This transfer is possible in two ways: direct transfer and using the decimal system.

first, let\'s make a direct transfer.

let\'s do a direct translation from octal to binary like this:

17.548 = 1 7. 5 4 = 1(=001) 7(=111). 5(=101) 4(=100) = 001111.1011002

the Final answer: 17.548 = 1111.10112

now let\'s make the transfer using the decimal system.

let\'s translate to decimal like this:

1∙81+7∙80+5∙8-1+4∙8-2 = 1∙8+7∙1+5∙0.125+4∙0.015625 = 8+7+0.625+0.0625 = 15.687510

got It: 17.548 =15.687510

Translate the number 15.687510 в binary like this:

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

 15 2 -14 7 2 1 -6 3 2 1 -2 1 1 the Fractional part of the number is multiplied by the base of the new number system: 0. 6875*2 1 .375*2 0 .75*2 1 .5*2 1 .0*2

the result of the conversion was:

15.687510 = 1111.10112
the Final answer: 17.548 = 1111.10112
Permanent link to the result of this calculation