225D hexadecimal to binary

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

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

D × 16⁰ = 13
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:

13 + 80 + 512 + 8192 = 8797

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.

8797 ÷ 2 = 4398 with 1 remainder
4398 ÷ 2 = 2199 with 0 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 225D hexadecimal to binary:

225D hexadecimal = 10001001011101 binary

Hexadecimal to Binary Converter
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225E hexadecimal to binary
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