EFDE hexadecimal to octal

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

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

E × 16⁰ = 14
D × 16¹ = 208
F × 16² = 3840
E × 16³ = 57344

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:

14 + 208 + 3840 + 57344 = 61406

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.

61406 ÷ 8 = 7675 with 6 remainder
7675 ÷ 8 = 959 with 3 remainder
959 ÷ 8 = 119 with 7 remainder
119 ÷ 8 = 14 with 7 remainder
14 ÷ 8 = 1 with 6 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 EFDE hexadecimal to octal:

EFDE hexadecimal = 167736 octal

Hexadecimal to Octal Converter
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