390B hexadecimal to octal

Here we will show you how to convert the hexadecimal number 390B 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 390B from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 390B by 16⁰, multiply the second to last digit in 390B by 16¹, multiply the third to last digit in 390B by 16², multiply the fourth to last digit in 390B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
0 × 16¹ = 0
9 × 16² = 2304
3 × 16³ = 12288

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:

11 + 0 + 2304 + 12288 = 14603

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.

14603 ÷ 8 = 1825 with 3 remainder
1825 ÷ 8 = 228 with 1 remainder
228 ÷ 8 = 28 with 4 remainder
28 ÷ 8 = 3 with 4 remainder
3 ÷ 8 = 0 with 3 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 390B hexadecimal to octal:

390B hexadecimal = 34413 octal

Hexadecimal to Octal Converter
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