AD3C hexadecimal to binary

Here we will show you how to convert the hexadecimal number AD3C 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 AD3C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AD3C by 16⁰, multiply the second to last digit in AD3C by 16¹, multiply the third to last digit in AD3C by 16², multiply the fourth to last digit in AD3C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
3 × 16¹ = 48
D × 16² = 3328
A × 16³ = 40960

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 + 40960 = 44348

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.

44348 ÷ 2 = 22174 with 0 remainder
22174 ÷ 2 = 11087 with 0 remainder
11087 ÷ 2 = 5543 with 1 remainder
5543 ÷ 2 = 2771 with 1 remainder
2771 ÷ 2 = 1385 with 1 remainder
1385 ÷ 2 = 692 with 1 remainder
692 ÷ 2 = 346 with 0 remainder
346 ÷ 2 = 173 with 0 remainder
173 ÷ 2 = 86 with 1 remainder
86 ÷ 2 = 43 with 0 remainder
43 ÷ 2 = 21 with 1 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 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 AD3C hexadecimal to binary:

AD3C hexadecimal = 1010110100111100 binary

Hexadecimal to Binary Converter
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AD3D hexadecimal to binary
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