AF6C hexadecimal to octal

Here we will show you how to convert the hexadecimal number AF6C 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 AF6C from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in AF6C by 16⁰, multiply the second to last digit in AF6C by 16¹, multiply the third to last digit in AF6C by 16², multiply the fourth to last digit in AF6C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
6 × 16¹ = 96
F × 16² = 3840
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:

12 + 96 + 3840 + 40960 = 44908

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.

44908 ÷ 8 = 5613 with 4 remainder
5613 ÷ 8 = 701 with 5 remainder
701 ÷ 8 = 87 with 5 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 AF6C hexadecimal to octal:

AF6C hexadecimal = 127554 octal

Hexadecimal to Octal Converter
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