F4C0 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F4C0 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 F4C0 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F4C0 by 16⁰, multiply the second to last digit in F4C0 by 16¹, multiply the third to last digit in F4C0 by 16², multiply the fourth to last digit in F4C0 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
C × 16¹ = 192
4 × 16² = 1024
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:

0 + 192 + 1024 + 61440 = 62656

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.

62656 ÷ 2 = 31328 with 0 remainder
31328 ÷ 2 = 15664 with 0 remainder
15664 ÷ 2 = 7832 with 0 remainder
7832 ÷ 2 = 3916 with 0 remainder
3916 ÷ 2 = 1958 with 0 remainder
1958 ÷ 2 = 979 with 0 remainder
979 ÷ 2 = 489 with 1 remainder
489 ÷ 2 = 244 with 1 remainder
244 ÷ 2 = 122 with 0 remainder
122 ÷ 2 = 61 with 0 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 F4C0 hexadecimal to binary:

F4C0 hexadecimal = 1111010011000000 binary

Hexadecimal to Binary Converter
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F4C1 hexadecimal to binary
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