5104 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 5104 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 5104 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 5104 by 16⁰, multiply the second to last digit in 5104 by 16¹, multiply the third to last digit in 5104 by 16², multiply the fourth to last digit in 5104 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
0 × 16¹ = 0
1 × 16² = 256
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 + 256 + 20480 = 20740

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.

20740 ÷ 2 = 10370 with 0 remainder
10370 ÷ 2 = 5185 with 0 remainder
5185 ÷ 2 = 2592 with 1 remainder
2592 ÷ 2 = 1296 with 0 remainder
1296 ÷ 2 = 648 with 0 remainder
648 ÷ 2 = 324 with 0 remainder
324 ÷ 2 = 162 with 0 remainder
162 ÷ 2 = 81 with 0 remainder
81 ÷ 2 = 40 with 1 remainder
40 ÷ 2 = 20 with 0 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 5104 hexadecimal to binary:

5104 hexadecimal = 101000100000100 binary

Hexadecimal to Binary Converter
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5105 hexadecimal to binary
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