Transfer 725.654 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:

725.6548 = 7 2 5. 6 5 4 = 7(=111) 2(=010) 5(=101). 6(=110) 5(=101) 4(=100) = 111010101.1101011002

the Final answer: 725.6548 = 111010101.11010112

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

let\'s translate to decimal like this:

7∙82+2∙81+5∙80+6∙8-1+5∙8-2+4∙8-3 = 7∙64+2∙8+5∙1+6∙0.125+5∙0.015625+4∙0.001953125 = 448+16+5+0.75+0.078125+0.0078125 = 469.835937510

got It: 725.6548 =469.835937510

Translate the number 469.835937510 в binary like this:

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

4692
-4682342
1-2341172
0-116582
1-58292
0-28142
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
0.8359375*2
1.67188*2
1.34375*2
0.6875*2
1.375*2
0.75*2
1.5*2
1.0*2

the result of the conversion was:

469.835937510 = 111010101.11010112
the Final answer: 725.6548 = 111010101.11010112
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