15AF hexadecimal to octal

Here we will show you how to convert the hexadecimal number 15AF 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 15AF from hexadecimal to octal are explained below.

Step 1)
Multiply the last digit in 15AF by 16⁰, multiply the second to last digit in 15AF by 16¹, multiply the third to last digit in 15AF by 16², multiply the fourth to last digit in 15AF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
A × 16¹ = 160
5 × 16² = 1280
1 × 16³ = 4096

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:

15 + 160 + 1280 + 4096 = 5551

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.

5551 ÷ 8 = 693 with 7 remainder
693 ÷ 8 = 86 with 5 remainder
86 ÷ 8 = 10 with 6 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 15AF hexadecimal to octal:

15AF hexadecimal = 12657 octal

Hexadecimal to Octal Converter
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