# Transfer 325.24 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:

325.248 = 3 2 5. 2 4 = 3(=011) 2(=010) 5(=101). 2(=010) 4(=100) = 011010101.0101002

the Final answer: 325.248 = 11010101.01012

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

let\'s translate to decimal like this:

3∙82+2∙81+5∙80+2∙8-1+4∙8-2 = 3∙64+2∙8+5∙1+2∙0.125+4∙0.015625 = 192+16+5+0.25+0.0625 = 213.312510

got It: 325.248 =213.312510

Translate the number 213.312510 в binary like this:

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

 213 2 -212 106 2 1 -106 53 2 0 -52 26 2 1 -26 13 2 0 -12 6 2 1 -6 3 2 0 -2 1 1 the Fractional part of the number is multiplied by the base of the new number system: 0. 3125*2 0 .625*2 1 .25*2 0 .5*2 1 .0*2

the result of the conversion was:

213.312510 = 11010101.01012
the Final answer: 325.248 = 11010101.01012
Permanent link to the result of this calculation