Question

Q3 Convert 3025 into an equivalent number with base 8.

Answer 1

Given:

The decimal number is given as 3025.

To Find:

3025 into an equivalent number with base 8.

Solution:

• We have a decimal number is 3025, to covert it into we need to divide it from 8 till it gets least number, we get:

       $\dfrac{3025}{8} = 378 \textrm { with reminder 1}$

• Again we will divide 378 by 8 and we get:

        $\dfrac{378}{8} = 47 \textrm { with reminder 2}$

• Again we will divide 47 by 8 and we get:

       $\dfrac{47}{8} =5 \textrm { with reminder 7}$

• Now we will divide 5 by 8 and we get:

        $\dfrac{5}{8} = \textrm {not divible with reminder 5}$

• Now we can collect all the remainder from last to first, we get:

        5721

Therefore the number 3025 converted in to equivalent number with base 8 is  "$(5721)_8$ ".