Question

Write the base 10 number 1659 in base 8.

Answer 1

`(1659)_(10)=(3173)_8`

Explanation:

To find : Write the base 10 number 1659 in base 8 ?

Solution :

For converting base 10 to base 8 we have to follow the steps,

Step 1 - Divide 1659 by 8,

`1659=207* 8+3`

The remainder is 3.

Step 2 - Divide quotient 207 by 8,

`207=25* 8+7`

The remainder is 7.

Step 3 - Again divide quotient 25 by 8,

`25=3* 8+1`

The remainder is 1.

Step 4 - As 3 <8

Which means the remainder is 3.

Step 5 - The remainders will be the digits of Base 8 number arrange the digits of the remainders from bottom to top.

i.e.
`(1659)_(10)=(3173)_8`