664C hexadecimal to binary

Here we will show you how to convert the hexadecimal number 664C 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 664C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 664C by 16⁰, multiply the second to last digit in 664C by 16¹, multiply the third to last digit in 664C by 16², multiply the fourth to last digit in 664C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
4 × 16¹ = 64
6 × 16² = 1536
6 × 16³ = 24576

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 + 1536 + 24576 = 26188

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.

26188 ÷ 2 = 13094 with 0 remainder
13094 ÷ 2 = 6547 with 0 remainder
6547 ÷ 2 = 3273 with 1 remainder
3273 ÷ 2 = 1636 with 1 remainder
1636 ÷ 2 = 818 with 0 remainder
818 ÷ 2 = 409 with 0 remainder
409 ÷ 2 = 204 with 1 remainder
204 ÷ 2 = 102 with 0 remainder
102 ÷ 2 = 51 with 0 remainder
51 ÷ 2 = 25 with 1 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 664C hexadecimal to binary:

664C hexadecimal = 110011001001100 binary

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