Transfer 73.05 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:

73.058 = 7 3. 0 5 = 7(=111) 3(=011). 0(=000) 5(=101) = 111011.0001012

the Final answer: 73.058 = 111011.0001012

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

let\'s translate to decimal like this:

7∙81+3∙80+0∙8-1+5∙8-2 = 7∙8+3∙1+0∙0.125+5∙0.015625 = 56+3+0+0.078125 = 59.07812510

got It: 73.058 =59.07812510

Translate the number 59.07812510 в binary like this:

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

592
-58292
1-28142
1-1472
0-632
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
0.078125*2
0.15625*2
0.3125*2
0.625*2
1.25*2
0.5*2
1.0*2

the result of the conversion was:

59.07812510 = 111011.0001012
the Final answer: 73.058 = 111011.0001012
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