DF83 hexadecimal to octal

Here we will show you how to convert the hexadecimal number DF83 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 DF83 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in DF83 by 16⁰, multiply the second to last digit in DF83 by 16¹, multiply the third to last digit in DF83 by 16², multiply the fourth to last digit in DF83 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
8 × 16¹ = 128
F × 16² = 3840
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:

3 + 128 + 3840 + 53248 = 57219

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.

57219 ÷ 8 = 7152 with 3 remainder
7152 ÷ 8 = 894 with 0 remainder
894 ÷ 8 = 111 with 6 remainder
111 ÷ 8 = 13 with 7 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 DF83 hexadecimal to octal:

DF83 hexadecimal = 157603 octal

Hexadecimal to Octal Converter
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DF84 hexadecimal to octal
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