DED1 hexadecimal to octal

Here we will show you how to convert the hexadecimal number DED1 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 DED1 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in DED1 by 16⁰, multiply the second to last digit in DED1 by 16¹, multiply the third to last digit in DED1 by 16², multiply the fourth to last digit in DED1 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
D × 16¹ = 208
E × 16² = 3584
D × 16³ = 53248

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 + 208 + 3584 + 53248 = 57041

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.

57041 ÷ 8 = 7130 with 1 remainder
7130 ÷ 8 = 891 with 2 remainder
891 ÷ 8 = 111 with 3 remainder
111 ÷ 8 = 13 with 7 remainder
13 ÷ 8 = 1 with 5 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 DED1 hexadecimal to octal:

DED1 hexadecimal = 157321 octal

Hexadecimal to Octal Converter
Here you can convert another hexadecimal number to octal.

DED2 hexadecimal to octal
Go here for the next hexadecimal number on our list that we have converted to octal.