3CCD hexadecimal to binary

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

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

D × 16⁰ = 13
C × 16¹ = 192
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:

13 + 192 + 3072 + 12288 = 15565

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.

15565 ÷ 2 = 7782 with 1 remainder
7782 ÷ 2 = 3891 with 0 remainder
3891 ÷ 2 = 1945 with 1 remainder
1945 ÷ 2 = 972 with 1 remainder
972 ÷ 2 = 486 with 0 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 3CCD hexadecimal to binary:

3CCD hexadecimal = 11110011001101 binary

Hexadecimal to Binary Converter
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