AF28 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AF28 to a binary 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 binary number system has only two different digits (0 and 1).

The four steps used to convert AF28 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AF28 by 16⁰, multiply the second to last digit in AF28 by 16¹, multiply the third to last digit in AF28 by 16², multiply the fourth to last digit in AF28 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
2 × 16¹ = 32
F × 16² = 3840
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:

8 + 32 + 3840 + 40960 = 44840

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

44840 ÷ 2 = 22420 with 0 remainder
22420 ÷ 2 = 11210 with 0 remainder
11210 ÷ 2 = 5605 with 0 remainder
5605 ÷ 2 = 2802 with 1 remainder
2802 ÷ 2 = 1401 with 0 remainder
1401 ÷ 2 = 700 with 1 remainder
700 ÷ 2 = 350 with 0 remainder
350 ÷ 2 = 175 with 0 remainder
175 ÷ 2 = 87 with 1 remainder
87 ÷ 2 = 43 with 1 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 remainder
1 ÷ 2 = 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 AF28 hexadecimal to binary:

AF28 hexadecimal = 1010111100101000 binary

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AF29 hexadecimal to binary
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