
Here we will show you how to convert the hexadecimal number FE4C 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 FE4C from hexadecimal to octal are explained below.
Step 1)
Multiply the last digit in FE4C by 16⁰, multiply the second to last digit in FE4C by 16¹, multiply the third to last digit in FE4C by 16², multiply the fourth to last digit in FE4C by 16³, and so on, until all the digits are used.
C × 16⁰ = 12
4 × 16¹ = 64
E × 16² = 3584
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:
12 + 64 + 3584 + 61440 = 65100
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.
65100 ÷ 8 = 8137 with 4 remainder
8137 ÷ 8 = 1017 with 1 remainder
1017 ÷ 8 = 127 with 1 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 FE4C hexadecimal to octal:
FE4C hexadecimal = 177114 octal
Hexadecimal to Octal Converter
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FE4D hexadecimal to octal
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