CA10 hexadecimal to binary

Here we will show you how to convert the hexadecimal number CA10 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 CA10 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in CA10 by 16⁰, multiply the second to last digit in CA10 by 16¹, multiply the third to last digit in CA10 by 16², multiply the fourth to last digit in CA10 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
1 × 16¹ = 16
A × 16² = 2560
C × 16³ = 49152

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 + 16 + 2560 + 49152 = 51728

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.

51728 ÷ 2 = 25864 with 0 remainder
25864 ÷ 2 = 12932 with 0 remainder
12932 ÷ 2 = 6466 with 0 remainder
6466 ÷ 2 = 3233 with 0 remainder
3233 ÷ 2 = 1616 with 1 remainder
1616 ÷ 2 = 808 with 0 remainder
808 ÷ 2 = 404 with 0 remainder
404 ÷ 2 = 202 with 0 remainder
202 ÷ 2 = 101 with 0 remainder
101 ÷ 2 = 50 with 1 remainder
50 ÷ 2 = 25 with 0 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 CA10 hexadecimal to binary:

CA10 hexadecimal = 1100101000010000 binary

Hexadecimal to Binary Converter
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