Transfer 12.07 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:

12.078 = 1 2. 0 7 = 1(=001) 2(=010). 0(=000) 7(=111) = 001010.0001112

the Final answer: 12.078 = 1010.0001112

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

let's translate to decimal like this:

1∙81+2∙80+0∙8-1+7∙8-2 = 1∙8+2∙1+0∙0.125+7∙0.015625 = 8+2+0+0.109375 = 10.10937510

got It: 12.078 =10.10937510

Translate the number 10.10937510 в binary like this:

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

102
-1052
0-422
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
0.109375*2
0.21875*2
0.4375*2
0.875*2
1.75*2
1.5*2
1.0*2

the result of the conversion was:

10.10937510 = 1010.0001112
the Final answer: 12.078 = 1010.0001112

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