FFFF hexadecimal to octal

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

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

F × 16⁰ = 15
F × 16¹ = 240
F × 16² = 3840
F × 16³ = 61440

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 + 3840 + 61440 = 65535

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.

65535 ÷ 8 = 8191 with 7 remainder
8191 ÷ 8 = 1023 with 7 remainder
1023 ÷ 8 = 127 with 7 remainder
127 ÷ 8 = 15 with 7 remainder
15 ÷ 8 = 1 with 7 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 FFFF hexadecimal to octal:

FFFF hexadecimal = 177777 octal

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