FAFB hexadecimal to octal

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

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

B × 16⁰ = 11
F × 16¹ = 240
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:

11 + 240 + 2560 + 61440 = 64251

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.

64251 ÷ 8 = 8031 with 3 remainder
8031 ÷ 8 = 1003 with 7 remainder
1003 ÷ 8 = 125 with 3 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 FAFB hexadecimal to octal:

FAFB hexadecimal = 175373 octal

Hexadecimal to Octal Converter
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FAFC hexadecimal to octal
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