Question

convert from decimal to octal

1). 0.3125
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Answer 1

Answer:

· Converting 0.3125 of Decimal to Octal number system. Have translated: 0.3125 of Decimal numeration system to Octal number system. You enter the number: 0.312510 in Decimal number system and want to translate it into Octal. ·

Answer 2

The octal conversation if the given decimal number is $0.3125_{10}$ = $0.24_{8}$

Explanation:

The given decimal number has 0 as integer part and 0.3125 as fractional part.

We first convert the given integer part 0 into octal form.

Step 1

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Dividend = 0

As, dividend is less than 8 so, we will stop and copy all it as the only remainder.

So, 1st remainder = 0

To find the octal value we have to scan the remainder from bottom.

So, $0_{10}$ = $0_{8}$

Now we will convert the fractional part .3125 into octal form.

Octal of 0.3125

Step 1

We multiply 0.3125 by 8 and take the integer part

$0.3125 * 8 = 2.5$

Integer part = 2

Fractional part = 0.5

As, the fractional part is not equal to the 0 so we copy it to next step.

Step 2

We multiply 0.5 by 8 and take the integer part

0.5 x 8 = 4.0

Integer part = 4

Fractional part = 0

Now the fractional part value is 0 so, we stop here.

To find octal value we have to scan the integer part from top

So, $0.3125_{10}$ = $0.24_{8}$

Now, to get the octal value of the decimal number 0.015625 we have to merge the two results.

$0.3125_{10}$ = $0.24_{8}$

Hence, $0.3125_{10}$ = $0.24_{8}$