Transfer 2567.523 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:

2567.5238 = 2 5 6 7. 5 2 3 = 2(=010) 5(=101) 6(=110) 7(=111). 5(=101) 2(=010) 3(=011) = 010101110111.1010100112

the Final answer: 2567.5238 = 10101110111.1010100112

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

let\'s translate to decimal like this:

2∙83+5∙82+6∙81+7∙80+5∙8-1+2∙8-2+3∙8-3 = 2∙512+5∙64+6∙8+7∙1+5∙0.125+2∙0.015625+3∙0.001953125 = 1024+320+48+7+0.625+0.03125+0.005859375 = 1399.66210937510

got It: 2567.5238 =1399.66210937510

Translate the number 1399.66210937510 в binary like this:

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

13992
-13986992
1-6983492
1-3481742
1-174872
0-86432
1-42212
1-20102
1-1052
0-422
1-21
0
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
0.662109375*2
1.32422*2
0.64844*2
1.29688*2
0.59375*2
1.1875*2
0.375*2
0.75*2
1.5*2
1.0*2

the result of the conversion was:

1399.66210937510 = 10101110111.1010100112
the Final answer: 2567.5238 = 10101110111.1010100112
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