BCFF hexadecimal to octal

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

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

F × 16⁰ = 15
F × 16¹ = 240
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:

15 + 240 + 3072 + 45056 = 48383

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.

48383 ÷ 8 = 6047 with 7 remainder
6047 ÷ 8 = 755 with 7 remainder
755 ÷ 8 = 94 with 3 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 BCFF hexadecimal to octal:

BCFF hexadecimal = 136377 octal

Hexadecimal to Octal Converter
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