C4F9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number C4F9 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 C4F9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in C4F9 by 16⁰, multiply the second to last digit in C4F9 by 16¹, multiply the third to last digit in C4F9 by 16², multiply the fourth to last digit in C4F9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
F × 16¹ = 240
4 × 16² = 1024
C × 16³ = 49152

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:

9 + 240 + 1024 + 49152 = 50425

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.

50425 ÷ 2 = 25212 with 1 remainder
25212 ÷ 2 = 12606 with 0 remainder
12606 ÷ 2 = 6303 with 0 remainder
6303 ÷ 2 = 3151 with 1 remainder
3151 ÷ 2 = 1575 with 1 remainder
1575 ÷ 2 = 787 with 1 remainder
787 ÷ 2 = 393 with 1 remainder
393 ÷ 2 = 196 with 1 remainder
196 ÷ 2 = 98 with 0 remainder
98 ÷ 2 = 49 with 0 remainder
49 ÷ 2 = 24 with 1 remainder
24 ÷ 2 = 12 with 0 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 C4F9 hexadecimal to binary:

C4F9 hexadecimal = 1100010011111001 binary

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C4FA hexadecimal to binary
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