21CE hexadecimal to binary

Here we will show you how to convert the hexadecimal number 21CE 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 21CE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 21CE by 16⁰, multiply the second to last digit in 21CE by 16¹, multiply the third to last digit in 21CE by 16², multiply the fourth to last digit in 21CE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
C × 16¹ = 192
1 × 16² = 256
2 × 16³ = 8192

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 + 192 + 256 + 8192 = 8654

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.

8654 ÷ 2 = 4327 with 0 remainder
4327 ÷ 2 = 2163 with 1 remainder
2163 ÷ 2 = 1081 with 1 remainder
1081 ÷ 2 = 540 with 1 remainder
540 ÷ 2 = 270 with 0 remainder
270 ÷ 2 = 135 with 0 remainder
135 ÷ 2 = 67 with 1 remainder
67 ÷ 2 = 33 with 1 remainder
33 ÷ 2 = 16 with 1 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 21CE hexadecimal to binary:

21CE hexadecimal = 10000111001110 binary

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

21CF hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.