how we can convert decimal to octal number system

its name represents that octal means 8 the number system which has the base of 8 is called the octal number system, it represents 0 to 7, it’s very easy to convert decimal to octal you need to divide it lets try how it’s done

CONVERSION DECIMAL TO OCTAL

Octal numbers are the same from 1 to 7

decimal	octal
1	1
2	2
3	3
4	4
5	5
6	6
7	7
8	10
9	11
10	12
11	13
12	14
13	15
14	16
15	17

now let’s try to convert decimal to octal

convert into octal: divide 8 by the decimal number that you take, we take decimal number 12 so divide the decimal number by 8 and then take their remainders then whatever your remainders come to rearrange by the bottom to top and that was your answer (conversion of decimal to octal) remember there is always a quotient which you have to divide again by your decimal number if it is greater than your decimal number when your decimal number is less than to your quotient then end up there. now let’s see how it’s done

example 1: decimal number =12 (also written as (12)₁₀)

Here we take the decimal number 12 to convert into an octal number divide it by 8 and take the reminder

we divided 8 by 12 and got the reminder 4,

now we have remainder 4, quotient 1 which is less than our decimal number (8) so that means we don’t need to do more just end it by 1

After the conversion of decimal to octal result is 14, which is also written as (10₈) =14

Example2: decimal number= 234

234 divided by 8 then got reminder 2, quotient 29 and 

29 divided by 8 then got remainder 5, quotient 3

3 is less than our decimal number 234 so we end up here

rearrange remainders by the bottom to top = 352

352 is your octal number of decimal number 234.

Also read- How to convert number system into digital numbers