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Convert decimal number into octal

written 6.3 years ago by teamques10 ★ 68k

•   modified 2.9 years ago

Solve the following:

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

digital electronics

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1 Answer

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written 2.9 years ago by teamques10 ★ 68k

Given,

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

Find $()_8$ = ?

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$(174.03125)_{10}$

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

$\therefore\ 256 + 0.02 = 256.02$

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

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