# Transfer 756.23 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:

756.238 = 7 5 6. 2 3 = 7(=111) 5(=101) 6(=110). 2(=010) 3(=011) = 111101110.0100112

the Final answer: 756.238 = 111101110.0100112

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

let\'s translate to decimal like this:

7∙82+5∙81+6∙80+2∙8-1+3∙8-2 = 7∙64+5∙8+6∙1+2∙0.125+3∙0.015625 = 448+40+6+0.25+0.046875 = 494.29687510

got It: 756.238 =494.29687510

Translate the number 494.29687510 в binary like this:

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

 494 2 -494 247 2 0 -246 123 2 1 -122 61 2 1 -60 30 2 1 -30 15 2 0 -14 7 2 1 -6 3 2 1 -2 1 1 the Fractional part of the number is multiplied by the base of the new number system: 0. 296875*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:

494.29687510 = 111101110.0100112
the Final answer: 756.238 = 111101110.0100112
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