F07F hexadecimal to binary

Here we will show you how to convert the hexadecimal number F07F 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 F07F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F07F by 16⁰, multiply the second to last digit in F07F by 16¹, multiply the third to last digit in F07F by 16², multiply the fourth to last digit in F07F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
7 × 16¹ = 112
0 × 16² = 0
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:

15 + 112 + 0 + 61440 = 61567

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.

61567 ÷ 2 = 30783 with 1 remainder
30783 ÷ 2 = 15391 with 1 remainder
15391 ÷ 2 = 7695 with 1 remainder
7695 ÷ 2 = 3847 with 1 remainder
3847 ÷ 2 = 1923 with 1 remainder
1923 ÷ 2 = 961 with 1 remainder
961 ÷ 2 = 480 with 1 remainder
480 ÷ 2 = 240 with 0 remainder
240 ÷ 2 = 120 with 0 remainder
120 ÷ 2 = 60 with 0 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 F07F hexadecimal to binary:

F07F hexadecimal = 1111000001111111 binary

Hexadecimal to Binary Converter
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