F23F hexadecimal to binary

Here we will show you how to convert the hexadecimal number F23F 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 F23F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F23F by 16⁰, multiply the second to last digit in F23F by 16¹, multiply the third to last digit in F23F by 16², multiply the fourth to last digit in F23F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
3 × 16¹ = 48
2 × 16² = 512
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 + 48 + 512 + 61440 = 62015

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.

62015 ÷ 2 = 31007 with 1 remainder
31007 ÷ 2 = 15503 with 1 remainder
15503 ÷ 2 = 7751 with 1 remainder
7751 ÷ 2 = 3875 with 1 remainder
3875 ÷ 2 = 1937 with 1 remainder
1937 ÷ 2 = 968 with 1 remainder
968 ÷ 2 = 484 with 0 remainder
484 ÷ 2 = 242 with 0 remainder
242 ÷ 2 = 121 with 0 remainder
121 ÷ 2 = 60 with 1 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 F23F hexadecimal to binary:

F23F hexadecimal = 1111001000111111 binary

Hexadecimal to Binary Converter
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