AEBF hexadecimal to octal

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

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

F × 16⁰ = 15
B × 16¹ = 176
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:

15 + 176 + 3584 + 40960 = 44735

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.

44735 ÷ 8 = 5591 with 7 remainder
5591 ÷ 8 = 698 with 7 remainder
698 ÷ 8 = 87 with 2 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 AEBF hexadecimal to octal:

AEBF hexadecimal = 127277 octal

Hexadecimal to Octal Converter
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