5223 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5223 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 5223 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5223 by 16⁰, multiply the second to last digit in 5223 by 16¹, multiply the third to last digit in 5223 by 16², multiply the fourth to last digit in 5223 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
2 × 16¹ = 32
2 × 16² = 512
5 × 16³ = 20480

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 + 32 + 512 + 20480 = 21027

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.

21027 ÷ 2 = 10513 with 1 remainder
10513 ÷ 2 = 5256 with 1 remainder
5256 ÷ 2 = 2628 with 0 remainder
2628 ÷ 2 = 1314 with 0 remainder
1314 ÷ 2 = 657 with 0 remainder
657 ÷ 2 = 328 with 1 remainder
328 ÷ 2 = 164 with 0 remainder
164 ÷ 2 = 82 with 0 remainder
82 ÷ 2 = 41 with 0 remainder
41 ÷ 2 = 20 with 1 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 5223 hexadecimal to binary:

5223 hexadecimal = 101001000100011 binary

Hexadecimal to Binary Converter
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5224 hexadecimal to binary
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