3CDC hexadecimal to binary

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

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

C × 16⁰ = 12
D × 16¹ = 208
C × 16² = 3072
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:

12 + 208 + 3072 + 12288 = 15580

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.

15580 ÷ 2 = 7790 with 0 remainder
7790 ÷ 2 = 3895 with 0 remainder
3895 ÷ 2 = 1947 with 1 remainder
1947 ÷ 2 = 973 with 1 remainder
973 ÷ 2 = 486 with 1 remainder
486 ÷ 2 = 243 with 0 remainder
243 ÷ 2 = 121 with 1 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 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 3CDC hexadecimal to binary:

3CDC hexadecimal = 11110011011100 binary

Hexadecimal to Binary Converter
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