40DF hexadecimal to octal

Here we will show you how to convert the hexadecimal number 40DF 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 40DF from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 40DF by 16⁰, multiply the second to last digit in 40DF by 16¹, multiply the third to last digit in 40DF by 16², multiply the fourth to last digit in 40DF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
D × 16¹ = 208
0 × 16² = 0
4 × 16³ = 16384

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 + 208 + 0 + 16384 = 16607

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.

16607 ÷ 8 = 2075 with 7 remainder
2075 ÷ 8 = 259 with 3 remainder
259 ÷ 8 = 32 with 3 remainder
32 ÷ 8 = 4 with 0 remainder
4 ÷ 8 = 0 with 4 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 40DF hexadecimal to octal:

40DF hexadecimal = 40337 octal

Hexadecimal to Octal Converter
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