383E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 383E 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 383E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 383E by 16⁰, multiply the second to last digit in 383E by 16¹, multiply the third to last digit in 383E by 16², multiply the fourth to last digit in 383E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
3 × 16¹ = 48
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:

14 + 48 + 2048 + 12288 = 14398

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.

14398 ÷ 2 = 7199 with 0 remainder
7199 ÷ 2 = 3599 with 1 remainder
3599 ÷ 2 = 1799 with 1 remainder
1799 ÷ 2 = 899 with 1 remainder
899 ÷ 2 = 449 with 1 remainder
449 ÷ 2 = 224 with 1 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 383E hexadecimal to binary:

383E hexadecimal = 11100000111110 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

383F hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.