8E1E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8E1E 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 8E1E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8E1E by 16⁰, multiply the second to last digit in 8E1E by 16¹, multiply the third to last digit in 8E1E by 16², multiply the fourth to last digit in 8E1E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
1 × 16¹ = 16
E × 16² = 3584
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:

14 + 16 + 3584 + 32768 = 36382

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.

36382 ÷ 2 = 18191 with 0 remainder
18191 ÷ 2 = 9095 with 1 remainder
9095 ÷ 2 = 4547 with 1 remainder
4547 ÷ 2 = 2273 with 1 remainder
2273 ÷ 2 = 1136 with 1 remainder
1136 ÷ 2 = 568 with 0 remainder
568 ÷ 2 = 284 with 0 remainder
284 ÷ 2 = 142 with 0 remainder
142 ÷ 2 = 71 with 0 remainder
71 ÷ 2 = 35 with 1 remainder
35 ÷ 2 = 17 with 1 remainder
17 ÷ 2 = 8 with 1 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 8E1E hexadecimal to binary:

8E1E hexadecimal = 1000111000011110 binary

Hexadecimal to Binary Converter
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8E1F hexadecimal to binary
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