F503 hexadecimal to binary

Here we will show you how to convert the hexadecimal number F503 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 F503 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F503 by 16⁰, multiply the second to last digit in F503 by 16¹, multiply the third to last digit in F503 by 16², multiply the fourth to last digit in F503 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
0 × 16¹ = 0
5 × 16² = 1280
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:

3 + 0 + 1280 + 61440 = 62723

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.

62723 ÷ 2 = 31361 with 1 remainder
31361 ÷ 2 = 15680 with 1 remainder
15680 ÷ 2 = 7840 with 0 remainder
7840 ÷ 2 = 3920 with 0 remainder
3920 ÷ 2 = 1960 with 0 remainder
1960 ÷ 2 = 980 with 0 remainder
980 ÷ 2 = 490 with 0 remainder
490 ÷ 2 = 245 with 0 remainder
245 ÷ 2 = 122 with 1 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 F503 hexadecimal to binary:

F503 hexadecimal = 1111010100000011 binary

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F504 hexadecimal to binary
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