AF50 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AF50 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 AF50 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AF50 by 16⁰, multiply the second to last digit in AF50 by 16¹, multiply the third to last digit in AF50 by 16², multiply the fourth to last digit in AF50 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
5 × 16¹ = 80
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:

0 + 80 + 3840 + 40960 = 44880

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.

44880 ÷ 2 = 22440 with 0 remainder
22440 ÷ 2 = 11220 with 0 remainder
11220 ÷ 2 = 5610 with 0 remainder
5610 ÷ 2 = 2805 with 0 remainder
2805 ÷ 2 = 1402 with 1 remainder
1402 ÷ 2 = 701 with 0 remainder
701 ÷ 2 = 350 with 1 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 AF50 hexadecimal to binary:

AF50 hexadecimal = 1010111101010000 binary

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AF51 hexadecimal to binary
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