AB4F hexadecimal to octal

Here we will show you how to convert the hexadecimal number AB4F 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 AB4F from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in AB4F by 16⁰, multiply the second to last digit in AB4F by 16¹, multiply the third to last digit in AB4F by 16², multiply the fourth to last digit in AB4F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
4 × 16¹ = 64
B × 16² = 2816
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 + 64 + 2816 + 40960 = 43855

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.

43855 ÷ 8 = 5481 with 7 remainder
5481 ÷ 8 = 685 with 1 remainder
685 ÷ 8 = 85 with 5 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 AB4F hexadecimal to octal:

AB4F hexadecimal = 125517 octal

Hexadecimal to Octal Converter
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