3AEB hexadecimal to octal

Here we will show you how to convert the hexadecimal number 3AEB 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 3AEB from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 3AEB by 16⁰, multiply the second to last digit in 3AEB by 16¹, multiply the third to last digit in 3AEB by 16², multiply the fourth to last digit in 3AEB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
E × 16¹ = 224
A × 16² = 2560
3 × 16³ = 12288

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:

11 + 224 + 2560 + 12288 = 15083

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.

15083 ÷ 8 = 1885 with 3 remainder
1885 ÷ 8 = 235 with 5 remainder
235 ÷ 8 = 29 with 3 remainder
29 ÷ 8 = 3 with 5 remainder
3 ÷ 8 = 0 with 3 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 3AEB hexadecimal to octal:

3AEB hexadecimal = 35353 octal

Hexadecimal to Octal Converter
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3AEC hexadecimal to octal
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