# Transfer 135.5463 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:

135.54638 = 1 3 5. 5 4 6 3 = 1(=001) 3(=011) 5(=101). 5(=101) 4(=100) 6(=110) 3(=011) = 001011101.1011001100112

the Final answer: 135.54638 = 1011101.1011001100112

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

let's translate to decimal like this:

1∙82+3∙81+5∙80+5∙8-1+4∙8-2+6∙8-3+3∙8-4 = 1∙64+3∙8+5∙1+5∙0.125+4∙0.015625+6∙0.001953125+3∙0.000244140625 = 64+24+5+0.625+0.0625+0.01171875+0.000732421875 = 93.69995117187510

got It: 135.54638 =93.69995117187510

Translate the number 93.69995117187510 в binary like this:

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

 93 2 -92 46 2 1 -46 23 2 0 -22 11 2 1 -10 5 2 1 -4 2 2 1 -2 1 0 the Fractional part of the number is multiplied by the base of the new number system: 0. 699951171875*2 1 .3999*2 0 .7998*2 1 .59961*2 1 .19922*2 0 .39844*2 0 .79688*2 1 .59375*2 1 .1875*2 0 .375*2 0 .75*2

the result of the conversion was:

93.69995117187510 = 1011101.10110011002
the Final answer: 135.54638 = 1011101.10110011002 