3813 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 3813 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 3813 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 3813 by 16⁰, multiply the second to last digit in 3813 by 16¹, multiply the third to last digit in 3813 by 16², multiply the fourth to last digit in 3813 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
1 × 16¹ = 16
8 × 16² = 2048
3 × 16³ = 12288

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 + 16 + 2048 + 12288 = 14355

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.

14355 ÷ 2 = 7177 with 1 remainder
7177 ÷ 2 = 3588 with 1 remainder
3588 ÷ 2 = 1794 with 0 remainder
1794 ÷ 2 = 897 with 0 remainder
897 ÷ 2 = 448 with 1 remainder
448 ÷ 2 = 224 with 0 remainder
224 ÷ 2 = 112 with 0 remainder
112 ÷ 2 = 56 with 0 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 remainder
14 ÷ 2 = 7 with 0 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 3813 hexadecimal to binary:

3813 hexadecimal = 11100000010011 binary

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3814 hexadecimal to binary
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