https://decimal-to-binary.com/decimal-to-binary-converter-online.html?id=24331

Transfer 325.125 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:

325.1258 = 3 2 5. 1 2 5 = 3(=011) 2(=010) 5(=101). 1(=001) 2(=010) 5(=101) = 011010101.0010101012

answer: 325.1258 = 11010101.0010101012

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

let\'s translate to decimal like this:

3∙82+2∙81+5∙80+1∙8-1+2∙8-2+5∙8-3 = 3∙64+2∙8+5∙1+1∙0.125+2∙0.015625+5∙0.001953125 = 192+16+5+0.125+0.03125+0.009765625 = 213.16601562510

got It: 325.1258 =213.16601562510

Translate the number 213.16601562510 в binary like this:

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

2132
-2121062
1-106532
0-52262
1-26132
0-1262
1-632
0-21
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
0.166015625*2
0.33203*2
0.66406*2
1.32813*2
0.65625*2
1.3125*2
0.625*2
1.25*2
0.5*2
1.0*2

the result of the conversion was:

213.16601562510 = 11010101.0010101012
answer: 325.1258 = 11010101.0010101012