FBE9 hexadecimal to octal

Here we will show you how to convert the hexadecimal number FBE9 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 FBE9 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in FBE9 by 16⁰, multiply the second to last digit in FBE9 by 16¹, multiply the third to last digit in FBE9 by 16², multiply the fourth to last digit in FBE9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
E × 16¹ = 224
B × 16² = 2816
F × 16³ = 61440

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:

9 + 224 + 2816 + 61440 = 64489

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.

64489 ÷ 8 = 8061 with 1 remainder
8061 ÷ 8 = 1007 with 5 remainder
1007 ÷ 8 = 125 with 7 remainder
125 ÷ 8 = 15 with 5 remainder
15 ÷ 8 = 1 with 7 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 FBE9 hexadecimal to octal:

FBE9 hexadecimal = 175751 octal

Hexadecimal to Octal Converter
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