83EF hexadecimal to octal

Here we will show you how to convert the hexadecimal number 83EF 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 83EF from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 83EF by 16⁰, multiply the second to last digit in 83EF by 16¹, multiply the third to last digit in 83EF by 16², multiply the fourth to last digit in 83EF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
E × 16¹ = 224
3 × 16² = 768
8 × 16³ = 32768

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:

15 + 224 + 768 + 32768 = 33775

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.

33775 ÷ 8 = 4221 with 7 remainder
4221 ÷ 8 = 527 with 5 remainder
527 ÷ 8 = 65 with 7 remainder
65 ÷ 8 = 8 with 1 remainder
8 ÷ 8 = 1 with 0 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 83EF hexadecimal to octal:

83EF hexadecimal = 101757 octal

Hexadecimal to Octal Converter
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83F0 hexadecimal to octal
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