A879 hexadecimal to octal

Here we will show you how to convert the hexadecimal number A879 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 A879 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in A879 by 16⁰, multiply the second to last digit in A879 by 16¹, multiply the third to last digit in A879 by 16², multiply the fourth to last digit in A879 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
7 × 16¹ = 112
8 × 16² = 2048
A × 16³ = 40960

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:

9 + 112 + 2048 + 40960 = 43129

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.

43129 ÷ 8 = 5391 with 1 remainder
5391 ÷ 8 = 673 with 7 remainder
673 ÷ 8 = 84 with 1 remainder
84 ÷ 8 = 10 with 4 remainder
10 ÷ 8 = 1 with 2 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 A879 hexadecimal to octal:

A879 hexadecimal = 124171 octal

Hexadecimal to Octal Converter
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