
Here we will show you how to convert the hexadecimal number F761 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 F761 from hexadecimal to octal are explained below.
Step 1)
Multiply the last digit in F761 by 16⁰, multiply the second to last digit in F761 by 16¹, multiply the third to last digit in F761 by 16², multiply the fourth to last digit in F761 by 16³, and so on, until all the digits are used.
1 × 16⁰ = 1
6 × 16¹ = 96
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:
1 + 96 + 1792 + 61440 = 63329
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.
63329 ÷ 8 = 7916 with 1 remainder
7916 ÷ 8 = 989 with 4 remainder
989 ÷ 8 = 123 with 5 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 F761 hexadecimal to octal:
F761 hexadecimal = 173541 octal
Hexadecimal to Octal Converter
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F762 hexadecimal to octal
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