F713 hexadecimal to octal




Here we will show you how to convert the hexadecimal number F713 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 F713 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in F713 by 16⁰, multiply the second to last digit in F713 by 16¹, multiply the third to last digit in F713 by 16², multiply the fourth to last digit in F713 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
1 × 16¹ = 16
7 × 16² = 1792
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:

3 + 16 + 1792 + 61440 = 63251

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.

63251 ÷ 8 = 7906 with 3 remainder
7906 ÷ 8 = 988 with 2 remainder
988 ÷ 8 = 123 with 4 remainder
123 ÷ 8 = 15 with 3 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 F713 hexadecimal to octal:

F713 hexadecimal = 173423 octal


Hexadecimal to Octal Converter
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F714 hexadecimal to octal
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