
Here we will show you how to convert the hexadecimal number F280 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 F280 from hexadecimal to octal are explained below.
Step 1)
Multiply the last digit in F280 by 16⁰, multiply the second to last digit in F280 by 16¹, multiply the third to last digit in F280 by 16², multiply the fourth to last digit in F280 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
8 × 16¹ = 128
2 × 16² = 512
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:
0 + 128 + 512 + 61440 = 62080
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.
62080 ÷ 8 = 7760 with 0 remainder
7760 ÷ 8 = 970 with 0 remainder
970 ÷ 8 = 121 with 2 remainder
121 ÷ 8 = 15 with 1 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 F280 hexadecimal to octal:
F280 hexadecimal = 171200 octal
Hexadecimal to Octal Converter
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F281 hexadecimal to octal
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