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:

932
-92462
1-46232
0-22112
1-1052
1-422
1-21
0
Перевод чисел из одной системы счисления в другую

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

 Transferring numbers from one number system to another
0.699951171875*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

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