DC0E hexadecimal to binary

Here we will show you how to convert the hexadecimal number DC0E 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 DC0E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DC0E by 16⁰, multiply the second to last digit in DC0E by 16¹, multiply the third to last digit in DC0E by 16², multiply the fourth to last digit in DC0E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
0 × 16¹ = 0
C × 16² = 3072
D × 16³ = 53248

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 + 0 + 3072 + 53248 = 56334

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.

56334 ÷ 2 = 28167 with 0 remainder
28167 ÷ 2 = 14083 with 1 remainder
14083 ÷ 2 = 7041 with 1 remainder
7041 ÷ 2 = 3520 with 1 remainder
3520 ÷ 2 = 1760 with 0 remainder
1760 ÷ 2 = 880 with 0 remainder
880 ÷ 2 = 440 with 0 remainder
440 ÷ 2 = 220 with 0 remainder
220 ÷ 2 = 110 with 0 remainder
110 ÷ 2 = 55 with 0 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 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 DC0E hexadecimal to binary:

DC0E hexadecimal = 1101110000001110 binary

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

DC0F hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.