F8CA hexadecimal to binary

Here we will show you how to convert the hexadecimal number F8CA 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 F8CA from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F8CA by 16⁰, multiply the second to last digit in F8CA by 16¹, multiply the third to last digit in F8CA by 16², multiply the fourth to last digit in F8CA by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
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:

10 + 192 + 2048 + 61440 = 63690

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.

63690 ÷ 2 = 31845 with 0 remainder
31845 ÷ 2 = 15922 with 1 remainder
15922 ÷ 2 = 7961 with 0 remainder
7961 ÷ 2 = 3980 with 1 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 F8CA hexadecimal to binary:

F8CA hexadecimal = 1111100011001010 binary

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F8CB hexadecimal to binary
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