# Transfer 214.06 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:

214.068 = 2 1 4. 0 6 = 2(=010) 1(=001) 4(=100). 0(=000) 6(=110) = 010001100.0001102

the Final answer: 214.068 = 10001100.000112

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

let\'s translate to decimal like this:

2∙82+1∙81+4∙80+0∙8-1+6∙8-2 = 2∙64+1∙8+4∙1+0∙0.125+6∙0.015625 = 128+8+4+0+0.09375 = 140.0937510

got It: 214.068 =140.0937510

Translate the number 140.0937510 в binary like this:

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

 140 2 -140 70 2 0 -70 35 2 0 -34 17 2 1 -16 8 2 1 -8 4 2 0 -4 2 2 0 -2 1 0 the Fractional part of the number is multiplied by the base of the new number system: 0. 09375*2 0 .1875*2 0 .375*2 0 .75*2 1 .5*2 1 .0*2

the result of the conversion was:

140.0937510 = 10001100.000112
the Final answer: 214.068 = 10001100.000112
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