1E3E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1E3E 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 1E3E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1E3E by 16⁰, multiply the second to last digit in 1E3E by 16¹, multiply the third to last digit in 1E3E by 16², multiply the fourth to last digit in 1E3E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
3 × 16¹ = 48
E × 16² = 3584
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:

14 + 48 + 3584 + 4096 = 7742

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.

7742 ÷ 2 = 3871 with 0 remainder
3871 ÷ 2 = 1935 with 1 remainder
1935 ÷ 2 = 967 with 1 remainder
967 ÷ 2 = 483 with 1 remainder
483 ÷ 2 = 241 with 1 remainder
241 ÷ 2 = 120 with 1 remainder
120 ÷ 2 = 60 with 0 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 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 1E3E hexadecimal to binary:

1E3E hexadecimal = 1111000111110 binary

Hexadecimal to Binary Converter
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1E3F hexadecimal to binary
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