412C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 412C 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 412C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 412C by 16⁰, multiply the second to last digit in 412C by 16¹, multiply the third to last digit in 412C by 16², multiply the fourth to last digit in 412C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
2 × 16¹ = 32
1 × 16² = 256
4 × 16³ = 16384

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 + 32 + 256 + 16384 = 16684

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.

16684 ÷ 2 = 8342 with 0 remainder
8342 ÷ 2 = 4171 with 0 remainder
4171 ÷ 2 = 2085 with 1 remainder
2085 ÷ 2 = 1042 with 1 remainder
1042 ÷ 2 = 521 with 0 remainder
521 ÷ 2 = 260 with 1 remainder
260 ÷ 2 = 130 with 0 remainder
130 ÷ 2 = 65 with 0 remainder
65 ÷ 2 = 32 with 1 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 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 412C hexadecimal to binary:

412C hexadecimal = 100000100101100 binary

Hexadecimal to Binary Converter
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