
Here we will show you how to convert the hexadecimal number 9CCC 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 9CCC from hexadecimal to octal are explained below.
Step 1)
Multiply the last digit in 9CCC by 16⁰, multiply the second to last digit in 9CCC by 16¹, multiply the third to last digit in 9CCC by 16², multiply the fourth to last digit in 9CCC by 16³, and so on, until all the digits are used.
C × 16⁰ = 12
C × 16¹ = 192
C × 16² = 3072
9 × 16³ = 36864
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:
12 + 192 + 3072 + 36864 = 40140
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.
40140 ÷ 8 = 5017 with 4 remainder
5017 ÷ 8 = 627 with 1 remainder
627 ÷ 8 = 78 with 3 remainder
78 ÷ 8 = 9 with 6 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 9CCC hexadecimal to octal:
9CCC hexadecimal = 116314 octal
Hexadecimal to Octal Converter
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