DDCE hexadecimal to binary

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

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

E × 16⁰ = 14
C × 16¹ = 192
D × 16² = 3328
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 + 192 + 3328 + 53248 = 56782

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.

56782 ÷ 2 = 28391 with 0 remainder
28391 ÷ 2 = 14195 with 1 remainder
14195 ÷ 2 = 7097 with 1 remainder
7097 ÷ 2 = 3548 with 1 remainder
3548 ÷ 2 = 1774 with 0 remainder
1774 ÷ 2 = 887 with 0 remainder
887 ÷ 2 = 443 with 1 remainder
443 ÷ 2 = 221 with 1 remainder
221 ÷ 2 = 110 with 1 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 DDCE hexadecimal to binary:

DDCE hexadecimal = 1101110111001110 binary

Hexadecimal to Binary Converter
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