DCB3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DCB3 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 DCB3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DCB3 by 16⁰, multiply the second to last digit in DCB3 by 16¹, multiply the third to last digit in DCB3 by 16², multiply the fourth to last digit in DCB3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
B × 16¹ = 176
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 + 176 + 3072 + 53248 = 56499

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.

56499 ÷ 2 = 28249 with 1 remainder
28249 ÷ 2 = 14124 with 1 remainder
14124 ÷ 2 = 7062 with 0 remainder
7062 ÷ 2 = 3531 with 0 remainder
3531 ÷ 2 = 1765 with 1 remainder
1765 ÷ 2 = 882 with 1 remainder
882 ÷ 2 = 441 with 0 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 DCB3 hexadecimal to binary:

DCB3 hexadecimal = 1101110010110011 binary

Hexadecimal to Binary Converter
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