5204 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5204 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 5204 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5204 by 16⁰, multiply the second to last digit in 5204 by 16¹, multiply the third to last digit in 5204 by 16², multiply the fourth to last digit in 5204 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
0 × 16¹ = 0
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:

4 + 0 + 512 + 20480 = 20996

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.

20996 ÷ 2 = 10498 with 0 remainder
10498 ÷ 2 = 5249 with 0 remainder
5249 ÷ 2 = 2624 with 1 remainder
2624 ÷ 2 = 1312 with 0 remainder
1312 ÷ 2 = 656 with 0 remainder
656 ÷ 2 = 328 with 0 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 5204 hexadecimal to binary:

5204 hexadecimal = 101001000000100 binary

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5205 hexadecimal to binary
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