8D3C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8D3C 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 8D3C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8D3C by 16⁰, multiply the second to last digit in 8D3C by 16¹, multiply the third to last digit in 8D3C by 16², multiply the fourth to last digit in 8D3C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
3 × 16¹ = 48
D × 16² = 3328
8 × 16³ = 32768

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 + 3328 + 32768 = 36156

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.

36156 ÷ 2 = 18078 with 0 remainder
18078 ÷ 2 = 9039 with 0 remainder
9039 ÷ 2 = 4519 with 1 remainder
4519 ÷ 2 = 2259 with 1 remainder
2259 ÷ 2 = 1129 with 1 remainder
1129 ÷ 2 = 564 with 1 remainder
564 ÷ 2 = 282 with 0 remainder
282 ÷ 2 = 141 with 0 remainder
141 ÷ 2 = 70 with 1 remainder
70 ÷ 2 = 35 with 0 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 remainder
2 ÷ 2 = 1 with 0 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 8D3C hexadecimal to binary:

8D3C hexadecimal = 1000110100111100 binary

Hexadecimal to Binary Converter
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8D3D hexadecimal to binary
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