DB0D hexadecimal to octal

Here we will show you how to convert the hexadecimal number DB0D to an octal number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the octal number system has only eight different digits (0 1 2 3 4 5 6 7).

The four steps used to convert DB0D from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in DB0D by 16⁰, multiply the second to last digit in DB0D by 16¹, multiply the third to last digit in DB0D by 16², multiply the fourth to last digit in DB0D by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
0 × 16¹ = 0
B × 16² = 2816
D × 16³ = 53248

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

13 + 0 + 2816 + 53248 = 56077

Step 3)
Now we divide the sum from Step 2 by 8. Put the remainder aside. Then divide the whole part by 8 again, and put the remainder aside again. Keep doing this until the whole part is 0.

56077 ÷ 8 = 7009 with 5 remainder
7009 ÷ 8 = 876 with 1 remainder
876 ÷ 8 = 109 with 4 remainder
109 ÷ 8 = 13 with 5 remainder
13 ÷ 8 = 1 with 5 remainder
1 ÷ 8 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to DB0D hexadecimal to octal:

DB0D hexadecimal = 155415 octal

Hexadecimal to Octal Converter
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