D3AB hexadecimal to octal

Here we will show you how to convert the hexadecimal number D3AB 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 D3AB from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in D3AB by 16⁰, multiply the second to last digit in D3AB by 16¹, multiply the third to last digit in D3AB by 16², multiply the fourth to last digit in D3AB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
A × 16¹ = 160
3 × 16² = 768
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:

11 + 160 + 768 + 53248 = 54187

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.

54187 ÷ 8 = 6773 with 3 remainder
6773 ÷ 8 = 846 with 5 remainder
846 ÷ 8 = 105 with 6 remainder
105 ÷ 8 = 13 with 1 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 D3AB hexadecimal to octal:

D3AB hexadecimal = 151653 octal

Hexadecimal to Octal Converter
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D3AC hexadecimal to octal
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