C8A2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number C8A2 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 C8A2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C8A2 by 16⁰, multiply the second to last digit in C8A2 by 16¹, multiply the third to last digit in C8A2 by 16², multiply the fourth to last digit in C8A2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
A × 16¹ = 160
8 × 16² = 2048
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:

2 + 160 + 2048 + 49152 = 51362

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.

51362 ÷ 2 = 25681 with 0 remainder
25681 ÷ 2 = 12840 with 1 remainder
12840 ÷ 2 = 6420 with 0 remainder
6420 ÷ 2 = 3210 with 0 remainder
3210 ÷ 2 = 1605 with 0 remainder
1605 ÷ 2 = 802 with 1 remainder
802 ÷ 2 = 401 with 0 remainder
401 ÷ 2 = 200 with 1 remainder
200 ÷ 2 = 100 with 0 remainder
100 ÷ 2 = 50 with 0 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 C8A2 hexadecimal to binary:

C8A2 hexadecimal = 1100100010100010 binary

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