8003 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8003 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 8003 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8003 by 16⁰, multiply the second to last digit in 8003 by 16¹, multiply the third to last digit in 8003 by 16², multiply the fourth to last digit in 8003 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
0 × 16¹ = 0
0 × 16² = 0
8 × 16³ = 32768

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 + 0 + 0 + 32768 = 32771

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.

32771 ÷ 2 = 16385 with 1 remainder
16385 ÷ 2 = 8192 with 1 remainder
8192 ÷ 2 = 4096 with 0 remainder
4096 ÷ 2 = 2048 with 0 remainder
2048 ÷ 2 = 1024 with 0 remainder
1024 ÷ 2 = 512 with 0 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 8003 hexadecimal to binary:

8003 hexadecimal = 1000000000000011 binary

Hexadecimal to Binary Converter
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8004 hexadecimal to binary
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