324C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 324C 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 324C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 324C by 16⁰, multiply the second to last digit in 324C by 16¹, multiply the third to last digit in 324C by 16², multiply the fourth to last digit in 324C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
4 × 16¹ = 64
2 × 16² = 512
3 × 16³ = 12288

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 + 64 + 512 + 12288 = 12876

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.

12876 ÷ 2 = 6438 with 0 remainder
6438 ÷ 2 = 3219 with 0 remainder
3219 ÷ 2 = 1609 with 1 remainder
1609 ÷ 2 = 804 with 1 remainder
804 ÷ 2 = 402 with 0 remainder
402 ÷ 2 = 201 with 0 remainder
201 ÷ 2 = 100 with 1 remainder
100 ÷ 2 = 50 with 0 remainder
50 ÷ 2 = 25 with 0 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 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 324C hexadecimal to binary:

324C hexadecimal = 11001001001100 binary

Hexadecimal to Binary Converter
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