F4F hexadecimal to binary

Here we will show you how to convert the hexadecimal number F4F 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 F4F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F4F by 16⁰, multiply the second to last digit in F4F by 16¹, multiply the third to last digit in F4F by 16², multiply the fourth to last digit in F4F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
4 × 16¹ = 64
F × 16² = 3840

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:

15 + 64 + 3840 = 3919

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.

3919 ÷ 2 = 1959 with 1 remainder
1959 ÷ 2 = 979 with 1 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 F4F hexadecimal to binary:

F4F hexadecimal = 111101001111 binary

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