3AAE hexadecimal to octal

Here we will show you how to convert the hexadecimal number 3AAE 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 3AAE from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 3AAE by 16⁰, multiply the second to last digit in 3AAE by 16¹, multiply the third to last digit in 3AAE by 16², multiply the fourth to last digit in 3AAE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
A × 16¹ = 160
A × 16² = 2560
3 × 16³ = 12288

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:

14 + 160 + 2560 + 12288 = 15022

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.

15022 ÷ 8 = 1877 with 6 remainder
1877 ÷ 8 = 234 with 5 remainder
234 ÷ 8 = 29 with 2 remainder
29 ÷ 8 = 3 with 5 remainder
3 ÷ 8 = 0 with 3 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 3AAE hexadecimal to octal:

3AAE hexadecimal = 35256 octal

Hexadecimal to Octal Converter
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3AAF hexadecimal to octal
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