Transfer 20.3 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:

20.38 = 2 0. 3 = 2(=010) 0(=000). 3(=011) = 010000.0112

the Final answer: 20.38 = 10000.0112

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

let\'s translate to decimal like this:

2∙81+0∙80+3∙8-1 = 2∙8+0∙1+3∙0.125 = 16+0+0.375 = 16.37510

got It: 20.38 =16.37510

Translate the number 16.37510 в binary like this:

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

162
-1682
0-842
0-422
0-21
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
0.375*2
0.75*2
1.5*2
1.0*2

the result of the conversion was:

16.37510 = 10000.0112
the Final answer: 20.38 = 10000.0112
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