DCE hexadecimal to binary

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

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

E × 16⁰ = 14
C × 16¹ = 192
D × 16² = 3328

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 + 3328 = 3534

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.

3534 ÷ 2 = 1767 with 0 remainder
1767 ÷ 2 = 883 with 1 remainder
883 ÷ 2 = 441 with 1 remainder
441 ÷ 2 = 220 with 1 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 DCE hexadecimal to binary:

DCE hexadecimal = 110111001110 binary

Hexadecimal to Binary Converter
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