3DCC hexadecimal to binary

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

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

C × 16⁰ = 12
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:

12 + 192 + 3328 + 12288 = 15820

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.

15820 ÷ 2 = 7910 with 0 remainder
7910 ÷ 2 = 3955 with 0 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 3DCC hexadecimal to binary:

3DCC hexadecimal = 11110111001100 binary

Hexadecimal to Binary Converter
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3DCD hexadecimal to binary
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