200B hexadecimal to binary

Here we will show you how to convert the hexadecimal number 200B 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 200B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 200B by 16⁰, multiply the second to last digit in 200B by 16¹, multiply the third to last digit in 200B by 16², multiply the fourth to last digit in 200B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
0 × 16¹ = 0
0 × 16² = 0
2 × 16³ = 8192

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:

11 + 0 + 0 + 8192 = 8203

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.

8203 ÷ 2 = 4101 with 1 remainder
4101 ÷ 2 = 2050 with 1 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 200B hexadecimal to binary:

200B hexadecimal = 10000000001011 binary

Hexadecimal to Binary Converter
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