1004 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1004 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 1004 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1004 by 16⁰, multiply the second to last digit in 1004 by 16¹, multiply the third to last digit in 1004 by 16², multiply the fourth to last digit in 1004 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
0 × 16¹ = 0
0 × 16² = 0
1 × 16³ = 4096

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 + 0 + 4096 = 4100

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.

4100 ÷ 2 = 2050 with 0 remainder
2050 ÷ 2 = 1025 with 0 remainder
1025 ÷ 2 = 512 with 1 remainder
512 ÷ 2 = 256 with 0 remainder
256 ÷ 2 = 128 with 0 remainder
128 ÷ 2 = 64 with 0 remainder
64 ÷ 2 = 32 with 0 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 1004 hexadecimal to binary:

1004 hexadecimal = 1000000000100 binary

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1005 hexadecimal to binary
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