C80B hexadecimal to binary

Here we will show you how to convert the hexadecimal number C80B 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 C80B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C80B by 16⁰, multiply the second to last digit in C80B by 16¹, multiply the third to last digit in C80B by 16², multiply the fourth to last digit in C80B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
0 × 16¹ = 0
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:

11 + 0 + 2048 + 49152 = 51211

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.

51211 ÷ 2 = 25605 with 1 remainder
25605 ÷ 2 = 12802 with 1 remainder
12802 ÷ 2 = 6401 with 0 remainder
6401 ÷ 2 = 3200 with 1 remainder
3200 ÷ 2 = 1600 with 0 remainder
1600 ÷ 2 = 800 with 0 remainder
800 ÷ 2 = 400 with 0 remainder
400 ÷ 2 = 200 with 0 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 C80B hexadecimal to binary:

C80B hexadecimal = 1100100000001011 binary

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C80C hexadecimal to binary
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