Transfer 11.23 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:

11.238 = 1 1. 2 3 = 1(=001) 1(=001). 2(=010) 3(=011) = 001001.0100112

the Final answer: 11.238 = 1001.0100112

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

let's translate to decimal like this:

1∙81+1∙80+2∙8-1+3∙8-2 = 1∙8+1∙1+2∙0.125+3∙0.015625 = 8+1+0.25+0.046875 = 9.29687510

got It: 11.238 =9.29687510

Translate the number 9.29687510 в binary like this:

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

92
-842
1-422
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
0.296875*2
0.59375*2
1.1875*2
0.375*2
0.75*2
1.5*2
1.0*2

the result of the conversion was:

9.29687510 = 1001.0100112
the Final answer: 11.238 = 1001.0100112

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