FA7C hexadecimal to octal

Here we will show you how to convert the hexadecimal number FA7C 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 FA7C from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in FA7C by 16⁰, multiply the second to last digit in FA7C by 16¹, multiply the third to last digit in FA7C by 16², multiply the fourth to last digit in FA7C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
7 × 16¹ = 112
A × 16² = 2560
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 + 112 + 2560 + 61440 = 64124

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.

64124 ÷ 8 = 8015 with 4 remainder
8015 ÷ 8 = 1001 with 7 remainder
1001 ÷ 8 = 125 with 1 remainder
125 ÷ 8 = 15 with 5 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 FA7C hexadecimal to octal:

FA7C hexadecimal = 175174 octal

Hexadecimal to Octal Converter
Here you can convert another hexadecimal number to octal.

FA7D hexadecimal to octal
Go here for the next hexadecimal number on our list that we have converted to octal.