
Here we will show you how to convert the hexadecimal number CA6C 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 CA6C from hexadecimal to octal are explained below.
Step 1)
Multiply the last digit in CA6C by 16⁰, multiply the second to last digit in CA6C by 16¹, multiply the third to last digit in CA6C by 16², multiply the fourth to last digit in CA6C by 16³, and so on, until all the digits are used.
C × 16⁰ = 12
6 × 16¹ = 96
A × 16² = 2560
C × 16³ = 49152
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 + 96 + 2560 + 49152 = 51820
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.
51820 ÷ 8 = 6477 with 4 remainder
6477 ÷ 8 = 809 with 5 remainder
809 ÷ 8 = 101 with 1 remainder
101 ÷ 8 = 12 with 5 remainder
12 ÷ 8 = 1 with 4 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 CA6C hexadecimal to octal:
CA6C hexadecimal = 145154 octal
Hexadecimal to Octal Converter
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