F331 hexadecimal to octal

Here we will show you how to convert the hexadecimal number F331 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 F331 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in F331 by 16⁰, multiply the second to last digit in F331 by 16¹, multiply the third to last digit in F331 by 16², multiply the fourth to last digit in F331 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
3 × 16¹ = 48
3 × 16² = 768
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:

1 + 48 + 768 + 61440 = 62257

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.

62257 ÷ 8 = 7782 with 1 remainder
7782 ÷ 8 = 972 with 6 remainder
972 ÷ 8 = 121 with 4 remainder
121 ÷ 8 = 15 with 1 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 F331 hexadecimal to octal:

F331 hexadecimal = 171461 octal

Hexadecimal to Octal Converter
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F332 hexadecimal to octal
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