AEF5 hexadecimal to octal

Here we will show you how to convert the hexadecimal number AEF5 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 AEF5 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in AEF5 by 16⁰, multiply the second to last digit in AEF5 by 16¹, multiply the third to last digit in AEF5 by 16², multiply the fourth to last digit in AEF5 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
F × 16¹ = 240
E × 16² = 3584
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:

5 + 240 + 3584 + 40960 = 44789

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.

44789 ÷ 8 = 5598 with 5 remainder
5598 ÷ 8 = 699 with 6 remainder
699 ÷ 8 = 87 with 3 remainder
87 ÷ 8 = 10 with 7 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 AEF5 hexadecimal to octal:

AEF5 hexadecimal = 127365 octal

Hexadecimal to Octal Converter
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