3214 hexadecimal to octal

Here we will show you how to convert the hexadecimal number 3214 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 3214 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 3214 by 16⁰, multiply the second to last digit in 3214 by 16¹, multiply the third to last digit in 3214 by 16², multiply the fourth to last digit in 3214 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
1 × 16¹ = 16
2 × 16² = 512
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:

4 + 16 + 512 + 12288 = 12820

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.

12820 ÷ 8 = 1602 with 4 remainder
1602 ÷ 8 = 200 with 2 remainder
200 ÷ 8 = 25 with 0 remainder
25 ÷ 8 = 3 with 1 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 3214 hexadecimal to octal:

3214 hexadecimal = 31024 octal

Hexadecimal to Octal Converter
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3215 hexadecimal to octal
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