B9E hexadecimal to octal

Here we will show you how to convert the hexadecimal number B9E 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 B9E from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in B9E by 16⁰, multiply the second to last digit in B9E by 16¹, multiply the third to last digit in B9E by 16², multiply the fourth to last digit in B9E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
9 × 16¹ = 144
B × 16² = 2816

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:

14 + 144 + 2816 = 2974

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.

2974 ÷ 8 = 371 with 6 remainder
371 ÷ 8 = 46 with 3 remainder
46 ÷ 8 = 5 with 6 remainder
5 ÷ 8 = 0 with 5 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 B9E hexadecimal to octal:

B9E hexadecimal = 5636 octal

Hexadecimal to Octal Converter
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B9F hexadecimal to octal
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