225E hexadecimal to binary

Here we will show you how to convert the hexadecimal number 225E 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 225E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 225E by 16⁰, multiply the second to last digit in 225E by 16¹, multiply the third to last digit in 225E by 16², multiply the fourth to last digit in 225E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
5 × 16¹ = 80
2 × 16² = 512
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 + 80 + 512 + 8192 = 8798

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.

8798 ÷ 2 = 4399 with 0 remainder
4399 ÷ 2 = 2199 with 1 remainder
2199 ÷ 2 = 1099 with 1 remainder
1099 ÷ 2 = 549 with 1 remainder
549 ÷ 2 = 274 with 1 remainder
274 ÷ 2 = 137 with 0 remainder
137 ÷ 2 = 68 with 1 remainder
68 ÷ 2 = 34 with 0 remainder
34 ÷ 2 = 17 with 0 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 225E hexadecimal to binary:

225E hexadecimal = 10001001011110 binary

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

225F hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.