200E hexadecimal to binary

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

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

E × 16⁰ = 14
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:

14 + 0 + 0 + 8192 = 8206

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.

8206 ÷ 2 = 4103 with 0 remainder
4103 ÷ 2 = 2051 with 1 remainder
2051 ÷ 2 = 1025 with 1 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 200E hexadecimal to binary:

200E hexadecimal = 10000000001110 binary

Hexadecimal to Binary Converter
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200F hexadecimal to binary
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