DCC3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DCC3 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 DCC3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DCC3 by 16⁰, multiply the second to last digit in DCC3 by 16¹, multiply the third to last digit in DCC3 by 16², multiply the fourth to last digit in DCC3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
C × 16¹ = 192
C × 16² = 3072
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:

3 + 192 + 3072 + 53248 = 56515

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.

56515 ÷ 2 = 28257 with 1 remainder
28257 ÷ 2 = 14128 with 1 remainder
14128 ÷ 2 = 7064 with 0 remainder
7064 ÷ 2 = 3532 with 0 remainder
3532 ÷ 2 = 1766 with 0 remainder
1766 ÷ 2 = 883 with 0 remainder
883 ÷ 2 = 441 with 1 remainder
441 ÷ 2 = 220 with 1 remainder
220 ÷ 2 = 110 with 0 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 DCC3 hexadecimal to binary:

DCC3 hexadecimal = 1101110011000011 binary

Hexadecimal to Binary Converter
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