AA8F hexadecimal to octal

Here we will show you how to convert the hexadecimal number AA8F 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 AA8F from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in AA8F by 16⁰, multiply the second to last digit in AA8F by 16¹, multiply the third to last digit in AA8F by 16², multiply the fourth to last digit in AA8F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
8 × 16¹ = 128
A × 16² = 2560
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 + 128 + 2560 + 40960 = 43663

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.

43663 ÷ 8 = 5457 with 7 remainder
5457 ÷ 8 = 682 with 1 remainder
682 ÷ 8 = 85 with 2 remainder
85 ÷ 8 = 10 with 5 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 AA8F hexadecimal to octal:

AA8F hexadecimal = 125217 octal

Hexadecimal to Octal Converter
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