7904 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 7904 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 7904 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 7904 by 16⁰, multiply the second to last digit in 7904 by 16¹, multiply the third to last digit in 7904 by 16², multiply the fourth to last digit in 7904 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
0 × 16¹ = 0
9 × 16² = 2304
7 × 16³ = 28672

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 + 2304 + 28672 = 30980

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.

30980 ÷ 2 = 15490 with 0 remainder
15490 ÷ 2 = 7745 with 0 remainder
7745 ÷ 2 = 3872 with 1 remainder
3872 ÷ 2 = 1936 with 0 remainder
1936 ÷ 2 = 968 with 0 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 7904 hexadecimal to binary:

7904 hexadecimal = 111100100000100 binary

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7905 hexadecimal to binary
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