https://decimal-to-binary.com/decimal-to-binary-converter-online.html?id=62705

# Transfer 7.76 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:

7.768 = 7. 7 6 = 7(=111). 7(=111) 6(=110) = 111.1111102

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

let\'s translate to decimal like this:

7∙80+7∙8-1+6∙8-2 = 7∙1+7∙0.125+6∙0.015625 = 7+0.875+0.09375 = 7.9687510

got It: 7.768 =7.9687510

Translate the number 7.9687510 в binary like this:

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

 7 2 -6 3 2 1 -2 1 1

the Fractional part of the number is multiplied by the base of the new number system:

 0. 96875*2 1 .9375*2 1 .875*2 1 .75*2 1 .5*2 1 .0*2

the result of the conversion was:

7.9687510 = 111.111112