C8E hexadecimal to binary

Here we will show you how to convert the hexadecimal number C8E 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 C8E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C8E by 16⁰, multiply the second to last digit in C8E by 16¹, multiply the third to last digit in C8E by 16², multiply the fourth to last digit in C8E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
8 × 16¹ = 128
C × 16² = 3072

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:

14 + 128 + 3072 = 3214

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.

3214 ÷ 2 = 1607 with 0 remainder
1607 ÷ 2 = 803 with 1 remainder
803 ÷ 2 = 401 with 1 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 C8E hexadecimal to binary:

C8E hexadecimal = 110010001110 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

C8F hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.