BCA8 hexadecimal to octal

Here we will show you how to convert the hexadecimal number BCA8 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 BCA8 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in BCA8 by 16⁰, multiply the second to last digit in BCA8 by 16¹, multiply the third to last digit in BCA8 by 16², multiply the fourth to last digit in BCA8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
A × 16¹ = 160
C × 16² = 3072
B × 16³ = 45056

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:

8 + 160 + 3072 + 45056 = 48296

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.

48296 ÷ 8 = 6037 with 0 remainder
6037 ÷ 8 = 754 with 5 remainder
754 ÷ 8 = 94 with 2 remainder
94 ÷ 8 = 11 with 6 remainder
11 ÷ 8 = 1 with 3 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 BCA8 hexadecimal to octal:

BCA8 hexadecimal = 136250 octal

Hexadecimal to Octal Converter
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BCA9 hexadecimal to octal
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