
Here we will show you how to convert the hexadecimal number 323E 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 323E from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 323E by 16⁰, multiply the second to last digit in 323E by 16¹, multiply the third to last digit in 323E by 16², multiply the fourth to last digit in 323E by 16³, and so on, until all the digits are used.
E × 16⁰ = 14
3 × 16¹ = 48
2 × 16² = 512
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 + 512 + 12288 = 12862
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.
12862 ÷ 2 = 6431 with 0 remainder
6431 ÷ 2 = 3215 with 1 remainder
3215 ÷ 2 = 1607 with 1 remainder
1607 ÷ 2 = 803 with 1 remainder
803 ÷ 2 = 401 with 1 remainder
401 ÷ 2 = 200 with 1 remainder
200 ÷ 2 = 100 with 0 remainder
100 ÷ 2 = 50 with 0 remainder
50 ÷ 2 = 25 with 0 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 remainder
6 ÷ 2 = 3 with 0 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 323E hexadecimal to binary:
323E hexadecimal = 11001000111110 binary
Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.
323F hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.
Copyright | Privacy Policy | Disclaimer | Contact
