Transfer 367.52 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:

367.528 = 3 6 7. 5 2 = 3(=011) 6(=110) 7(=111). 5(=101) 2(=010) = 011110111.1010102

the Final answer: 367.528 = 11110111.101012

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

let's translate to decimal like this:

3∙82+6∙81+7∙80+5∙8-1+2∙8-2 = 3∙64+6∙8+7∙1+5∙0.125+2∙0.015625 = 192+48+7+0.625+0.03125 = 247.6562510

got It: 367.528 =247.6562510

Translate the number 247.6562510 в binary like this:

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

2472
-2461232
1-122612
1-60302
1-30152
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
0.65625*2
1.3125*2
0.625*2
1.25*2
0.5*2
1.0*2

the result of the conversion was:

247.6562510 = 11110111.101012
the Final answer: 367.528 = 11110111.101012

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