FDDF hexadecimal to octal

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

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

F × 16⁰ = 15
D × 16¹ = 208
D × 16² = 3328
F × 16³ = 61440

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:

15 + 208 + 3328 + 61440 = 64991

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.

64991 ÷ 8 = 8123 with 7 remainder
8123 ÷ 8 = 1015 with 3 remainder
1015 ÷ 8 = 126 with 7 remainder
126 ÷ 8 = 15 with 6 remainder
15 ÷ 8 = 1 with 7 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 FDDF hexadecimal to octal:

FDDF hexadecimal = 176737 octal

Hexadecimal to Octal Converter
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