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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Ternary

Octal

Decimal

Hexadecimal

Binary-decimal

Other

Additional

Binary

Triple

Octal

Decimal

Hexadecimal

Binary-decimal

Other

Additional

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Enter a number:

His number system:

Binary Ternary

Octal

Decimal

Hexadecimal

Binary-decimal

Other

Additional

Translate to :

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:

7.76_{8} = 7. 7 6 = 7_{(=111)}. 7_{(=111)} 6_{(=110)} = 111.111110_{2}

answer: 7.76_{8} = 111.11111_{2}

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

let\'s translate to decimal like this:

7∙8^{0}+7∙8^{-1}+6∙8^{-2} = 7∙1+7∙0.125+6∙0.015625 = 7+0.875+0.09375 = 7.96875_{10}

got It: 7.76_{8} =7.96875_{10}

Translate the number 7.96875_{10} 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:

7.96875_{10} = 111.11111_{2}

answer: 7.76_{8} = 111.11111_{2}