https://decimal-to-binary.com/decimal-to-binary-converter-online.html?id=51870
# Transfer 425.455 from decimal in binary number system

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Enter a number:

His number system:

Binary Ternary

Octal

Decimal

Hexadecimal

Binary-decimal

Other

Additional

Translate to :

Translate the number 425.455_{10} в binary like this:

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

425 | 2 | |||||||||

-424 | 212 | 2 | ||||||||

1 | -212 | 106 | 2 | |||||||

0 | -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. | 455*2 |

0 | .91*2 |

1 | .82*2 |

1 | .64*2 |

1 | .28*2 |

0 | .56*2 |

1 | .12*2 |

0 | .24*2 |

0 | .48*2 |

0 | .96*2 |

1 | .92*2 |

the result of the conversion was:

425.455_{10} = 110101001.0111010001_{2}

answer: 425.455_{10} = 110101001.0111010001_{2}