Transfer 17.54 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:

17.548 = 1 7. 5 4 = 1(=001) 7(=111). 5(=101) 4(=100) = 001111.1011002

the Final answer: 17.548 = 1111.10112

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

let\'s translate to decimal like this:

1∙81+7∙80+5∙8-1+4∙8-2 = 1∙8+7∙1+5∙0.125+4∙0.015625 = 8+7+0.625+0.0625 = 15.687510

got It: 17.548 =15.687510

Translate the number 15.687510 в binary like this:

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

152
-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
0.6875*2
1.375*2
0.75*2
1.5*2
1.0*2

the result of the conversion was:

15.687510 = 1111.10112
the Final answer: 17.548 = 1111.10112
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