3DAB hexadecimal to octal

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

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

B × 16⁰ = 11
A × 16¹ = 160
D × 16² = 3328
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 + 160 + 3328 + 12288 = 15787

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.

15787 ÷ 8 = 1973 with 3 remainder
1973 ÷ 8 = 246 with 5 remainder
246 ÷ 8 = 30 with 6 remainder
30 ÷ 8 = 3 with 6 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 3DAB hexadecimal to octal:

3DAB hexadecimal = 36653 octal

Hexadecimal to Octal Converter
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3DAC hexadecimal to octal
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