
Here we will show you how to convert the hexadecimal number A4CA 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 A4CA from hexadecimal to octal are explained below.
Step 1)
Multiply the last digit in A4CA by 16⁰, multiply the second to last digit in A4CA by 16¹, multiply the third to last digit in A4CA by 16², multiply the fourth to last digit in A4CA by 16³, and so on, until all the digits are used.
A × 16⁰ = 10
C × 16¹ = 192
4 × 16² = 1024
A × 16³ = 40960
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:
10 + 192 + 1024 + 40960 = 42186
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.
42186 ÷ 8 = 5273 with 2 remainder
5273 ÷ 8 = 659 with 1 remainder
659 ÷ 8 = 82 with 3 remainder
82 ÷ 8 = 10 with 2 remainder
10 ÷ 8 = 1 with 2 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 A4CA hexadecimal to octal:
A4CA hexadecimal = 122312 octal
Hexadecimal to Octal Converter
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A4CB hexadecimal to octal
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