
Here we will show you how to convert the hexadecimal number F8C3 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 F8C3 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in F8C3 by 16⁰, multiply the second to last digit in F8C3 by 16¹, multiply the third to last digit in F8C3 by 16², multiply the fourth to last digit in F8C3 by 16³, and so on, until all the digits are used.
3 × 16⁰ = 3
C × 16¹ = 192
8 × 16² = 2048
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:
3 + 192 + 2048 + 61440 = 63683
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.
63683 ÷ 2 = 31841 with 1 remainder
31841 ÷ 2 = 15920 with 1 remainder
15920 ÷ 2 = 7960 with 0 remainder
7960 ÷ 2 = 3980 with 0 remainder
3980 ÷ 2 = 1990 with 0 remainder
1990 ÷ 2 = 995 with 0 remainder
995 ÷ 2 = 497 with 1 remainder
497 ÷ 2 = 248 with 1 remainder
248 ÷ 2 = 124 with 0 remainder
124 ÷ 2 = 62 with 0 remainder
62 ÷ 2 = 31 with 0 remainder
31 ÷ 2 = 15 with 1 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 F8C3 hexadecimal to binary:
F8C3 hexadecimal = 1111100011000011 binary
Hexadecimal to Binary Converter
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