DC3C hexadecimal to binary

Here we will show you how to convert the hexadecimal number DC3C 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 DC3C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DC3C by 16⁰, multiply the second to last digit in DC3C by 16¹, multiply the third to last digit in DC3C by 16², multiply the fourth to last digit in DC3C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
3 × 16¹ = 48
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:

12 + 48 + 3072 + 53248 = 56380

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.

56380 ÷ 2 = 28190 with 0 remainder
28190 ÷ 2 = 14095 with 0 remainder
14095 ÷ 2 = 7047 with 1 remainder
7047 ÷ 2 = 3523 with 1 remainder
3523 ÷ 2 = 1761 with 1 remainder
1761 ÷ 2 = 880 with 1 remainder
880 ÷ 2 = 440 with 0 remainder
440 ÷ 2 = 220 with 0 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 DC3C hexadecimal to binary:

DC3C hexadecimal = 1101110000111100 binary

Hexadecimal to Binary Converter
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DC3D hexadecimal to binary
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