BDAE hexadecimal to octal

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

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

E × 16⁰ = 14
A × 16¹ = 160
D × 16² = 3328
B × 16³ = 45056

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 + 160 + 3328 + 45056 = 48558

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.

48558 ÷ 8 = 6069 with 6 remainder
6069 ÷ 8 = 758 with 5 remainder
758 ÷ 8 = 94 with 6 remainder
94 ÷ 8 = 11 with 6 remainder
11 ÷ 8 = 1 with 3 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 BDAE hexadecimal to octal:

BDAE hexadecimal = 136656 octal

Hexadecimal to Octal Converter
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BDAF hexadecimal to octal
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