1DC3 hexadecimal to octal

Here we will show you how to convert the hexadecimal number 1DC3 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 1DC3 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 1DC3 by 16⁰, multiply the second to last digit in 1DC3 by 16¹, multiply the third to last digit in 1DC3 by 16², multiply the fourth to last digit in 1DC3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
C × 16¹ = 192
D × 16² = 3328
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:

3 + 192 + 3328 + 4096 = 7619

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.

7619 ÷ 8 = 952 with 3 remainder
952 ÷ 8 = 119 with 0 remainder
119 ÷ 8 = 14 with 7 remainder
14 ÷ 8 = 1 with 6 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 1DC3 hexadecimal to octal:

1DC3 hexadecimal = 16703 octal

Hexadecimal to Octal Converter
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