Transfer 37.6 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:

37.68 = 3 7. 6 = 3(=011) 7(=111). 6(=110) = 011111.1102

the Final answer: 37.68 = 11111.112

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

let\'s translate to decimal like this:

3∙81+7∙80+6∙8-1 = 3∙8+7∙1+6∙0.125 = 24+7+0.75 = 31.7510

got It: 37.68 =31.7510

Translate the number 31.7510 в binary like this:

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

312
-30152
1-1472
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
0.75*2
1.5*2
1.0*2

the result of the conversion was:

31.7510 = 11111.112
the Final answer: 37.68 = 11111.112
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