A5DF hexadecimal to octal

Here we will show you how to convert the hexadecimal number A5DF 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 A5DF from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in A5DF by 16⁰, multiply the second to last digit in A5DF by 16¹, multiply the third to last digit in A5DF by 16², multiply the fourth to last digit in A5DF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
D × 16¹ = 208
5 × 16² = 1280
A × 16³ = 40960

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 + 1280 + 40960 = 42463

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.

42463 ÷ 8 = 5307 with 7 remainder
5307 ÷ 8 = 663 with 3 remainder
663 ÷ 8 = 82 with 7 remainder
82 ÷ 8 = 10 with 2 remainder
10 ÷ 8 = 1 with 2 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 A5DF hexadecimal to octal:

A5DF hexadecimal = 122737 octal

Hexadecimal to Octal Converter
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