13DB hexadecimal to octal

Here we will show you how to convert the hexadecimal number 13DB 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 13DB from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 13DB by 16⁰, multiply the second to last digit in 13DB by 16¹, multiply the third to last digit in 13DB by 16², multiply the fourth to last digit in 13DB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
D × 16¹ = 208
3 × 16² = 768
1 × 16³ = 4096

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 + 208 + 768 + 4096 = 5083

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.

5083 ÷ 8 = 635 with 3 remainder
635 ÷ 8 = 79 with 3 remainder
79 ÷ 8 = 9 with 7 remainder
9 ÷ 8 = 1 with 1 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 13DB hexadecimal to octal:

13DB hexadecimal = 11733 octal

Hexadecimal to Octal Converter
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13DC hexadecimal to octal
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