A840 hexadecimal to octal

Here we will show you how to convert the hexadecimal number A840 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 A840 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in A840 by 16⁰, multiply the second to last digit in A840 by 16¹, multiply the third to last digit in A840 by 16², multiply the fourth to last digit in A840 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
4 × 16¹ = 64
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:

0 + 64 + 2048 + 40960 = 43072

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.

43072 ÷ 8 = 5384 with 0 remainder
5384 ÷ 8 = 673 with 0 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 A840 hexadecimal to octal:

A840 hexadecimal = 124100 octal

Hexadecimal to Octal Converter
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A841 hexadecimal to octal
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