Transfer 36.25 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:

36.258 = 3 6. 2 5 = 3(=011) 6(=110). 2(=010) 5(=101) = 011110.0101012

the Final answer: 36.258 = 11110.0101012

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

let\'s translate to decimal like this:

3∙81+6∙80+2∙8-1+5∙8-2 = 3∙8+6∙1+2∙0.125+5∙0.015625 = 24+6+0.25+0.078125 = 30.32812510

got It: 36.258 =30.32812510

Translate the number 30.32812510 в binary like this:

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

302
-30152
0-1472
1-632
1-21
1
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
0.328125*2
0.65625*2
1.3125*2
0.625*2
1.25*2
0.5*2
1.0*2

the result of the conversion was:

30.32812510 = 11110.0101012
the Final answer: 36.258 = 11110.0101012
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