3CF8 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3CF8 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 3CF8 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3CF8 by 16⁰, multiply the second to last digit in 3CF8 by 16¹, multiply the third to last digit in 3CF8 by 16², multiply the fourth to last digit in 3CF8 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
F × 16¹ = 240
C × 16² = 3072
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:

8 + 240 + 3072 + 12288 = 15608

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.

15608 ÷ 2 = 7804 with 0 remainder
7804 ÷ 2 = 3902 with 0 remainder
3902 ÷ 2 = 1951 with 0 remainder
1951 ÷ 2 = 975 with 1 remainder
975 ÷ 2 = 487 with 1 remainder
487 ÷ 2 = 243 with 1 remainder
243 ÷ 2 = 121 with 1 remainder
121 ÷ 2 = 60 with 1 remainder
60 ÷ 2 = 30 with 0 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 3CF8 hexadecimal to binary:

3CF8 hexadecimal = 11110011111000 binary

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3CF9 hexadecimal to binary
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