3DCE hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3DCE 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 3DCE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3DCE by 16⁰, multiply the second to last digit in 3DCE by 16¹, multiply the third to last digit in 3DCE by 16², multiply the fourth to last digit in 3DCE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
C × 16¹ = 192
D × 16² = 3328
3 × 16³ = 12288

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 + 12288 = 15822

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.

15822 ÷ 2 = 7911 with 0 remainder
7911 ÷ 2 = 3955 with 1 remainder
3955 ÷ 2 = 1977 with 1 remainder
1977 ÷ 2 = 988 with 1 remainder
988 ÷ 2 = 494 with 0 remainder
494 ÷ 2 = 247 with 0 remainder
247 ÷ 2 = 123 with 1 remainder
123 ÷ 2 = 61 with 1 remainder
61 ÷ 2 = 30 with 1 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 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 3DCE hexadecimal to binary:

3DCE hexadecimal = 11110111001110 binary

Hexadecimal to Binary Converter
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3DCF hexadecimal to binary
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