B116 hexadecimal to octal

Here we will show you how to convert the hexadecimal number B116 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 B116 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in B116 by 16⁰, multiply the second to last digit in B116 by 16¹, multiply the third to last digit in B116 by 16², multiply the fourth to last digit in B116 by 16³, and so on, until all the digits are used.

6 × 16⁰ = 6
1 × 16¹ = 16
1 × 16² = 256
B × 16³ = 45056

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:

6 + 16 + 256 + 45056 = 45334

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.

45334 ÷ 8 = 5666 with 6 remainder
5666 ÷ 8 = 708 with 2 remainder
708 ÷ 8 = 88 with 4 remainder
88 ÷ 8 = 11 with 0 remainder
11 ÷ 8 = 1 with 3 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 B116 hexadecimal to octal:

B116 hexadecimal = 130426 octal

Hexadecimal to Octal Converter
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B117 hexadecimal to octal
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