9DDC hexadecimal to octal

Here we will show you how to convert the hexadecimal number 9DDC 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 9DDC from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 9DDC by 16⁰, multiply the second to last digit in 9DDC by 16¹, multiply the third to last digit in 9DDC by 16², multiply the fourth to last digit in 9DDC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
D × 16¹ = 208
D × 16² = 3328
9 × 16³ = 36864

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:

12 + 208 + 3328 + 36864 = 40412

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.

40412 ÷ 8 = 5051 with 4 remainder
5051 ÷ 8 = 631 with 3 remainder
631 ÷ 8 = 78 with 7 remainder
78 ÷ 8 = 9 with 6 remainder
9 ÷ 8 = 1 with 1 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 9DDC hexadecimal to octal:

9DDC hexadecimal = 116734 octal

Hexadecimal to Octal Converter
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9DDD hexadecimal to octal
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