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Convert decimal number into octal

written 5.9 years ago by | • modified 2.5 years ago |

Solve the following:

$(174.03125)_{10} = ()_{8}$

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Convert decimal number into octal

written 5.9 years ago by | • modified 2.5 years ago |

Solve the following:

$(174.03125)_{10} = ()_{8}$

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written 2.5 years ago by |

Given,

Decimal number = $(174.03125)_{10}$

Find $()_8$ = ?

$(174.03125)_{10}$

Now, 174 + 0.3125 =

Division by 8 | Quotient | Remainder | Digit |
---|---|---|---|

(174) / 8 | 21 | 6 | 0 |

(21) / 8 | 2 | 5 | 1 |

(2) / 8 | 0 | 2 | 2 |

Now, conversion of decimal part i.e. 0.03125

= 0.03125 * 8 = 0.25

= 0.25 * 8 = 2.0

$\therefore\ 256 + 0.02 = 256.02$

$\implies\ (174.03125)_{10} =\ (256.02)_{8}\ Ans.$

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