1803 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1803 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 1803 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1803 by 16⁰, multiply the second to last digit in 1803 by 16¹, multiply the third to last digit in 1803 by 16², multiply the fourth to last digit in 1803 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
0 × 16¹ = 0
8 × 16² = 2048
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:

3 + 0 + 2048 + 4096 = 6147

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.

6147 ÷ 2 = 3073 with 1 remainder
3073 ÷ 2 = 1536 with 1 remainder
1536 ÷ 2 = 768 with 0 remainder
768 ÷ 2 = 384 with 0 remainder
384 ÷ 2 = 192 with 0 remainder
192 ÷ 2 = 96 with 0 remainder
96 ÷ 2 = 48 with 0 remainder
48 ÷ 2 = 24 with 0 remainder
24 ÷ 2 = 12 with 0 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 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 1803 hexadecimal to binary:

1803 hexadecimal = 1100000000011 binary

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1804 hexadecimal to binary
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