F64C hexadecimal to binary

Here we will show you how to convert the hexadecimal number F64C 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 F64C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F64C by 16⁰, multiply the second to last digit in F64C by 16¹, multiply the third to last digit in F64C by 16², multiply the fourth to last digit in F64C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
4 × 16¹ = 64
6 × 16² = 1536
F × 16³ = 61440

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 + 61440 = 63052

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.

63052 ÷ 2 = 31526 with 0 remainder
31526 ÷ 2 = 15763 with 0 remainder
15763 ÷ 2 = 7881 with 1 remainder
7881 ÷ 2 = 3940 with 1 remainder
3940 ÷ 2 = 1970 with 0 remainder
1970 ÷ 2 = 985 with 0 remainder
985 ÷ 2 = 492 with 1 remainder
492 ÷ 2 = 246 with 0 remainder
246 ÷ 2 = 123 with 0 remainder
123 ÷ 2 = 61 with 1 remainder
61 ÷ 2 = 30 with 1 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 remainder
7 ÷ 2 = 3 with 1 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 F64C hexadecimal to binary:

F64C hexadecimal = 1111011001001100 binary

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