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Convert decimal number into octal

Solve the following:

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

1 Answer
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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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