25A5 hexadecimal to octal

Here we will show you how to convert the hexadecimal number 25A5 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 25A5 from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 25A5 by 16⁰, multiply the second to last digit in 25A5 by 16¹, multiply the third to last digit in 25A5 by 16², multiply the fourth to last digit in 25A5 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
A × 16¹ = 160
5 × 16² = 1280
2 × 16³ = 8192

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:

5 + 160 + 1280 + 8192 = 9637

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.

9637 ÷ 8 = 1204 with 5 remainder
1204 ÷ 8 = 150 with 4 remainder
150 ÷ 8 = 18 with 6 remainder
18 ÷ 8 = 2 with 2 remainder
2 ÷ 8 = 0 with 2 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 25A5 hexadecimal to octal:

25A5 hexadecimal = 22645 octal

Hexadecimal to Octal Converter
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