222F hexadecimal to binary

Here we will show you how to convert the hexadecimal number 222F 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 222F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 222F by 16⁰, multiply the second to last digit in 222F by 16¹, multiply the third to last digit in 222F by 16², multiply the fourth to last digit in 222F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
2 × 16¹ = 32
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:

15 + 32 + 512 + 8192 = 8751

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.

8751 ÷ 2 = 4375 with 1 remainder
4375 ÷ 2 = 2187 with 1 remainder
2187 ÷ 2 = 1093 with 1 remainder
1093 ÷ 2 = 546 with 1 remainder
546 ÷ 2 = 273 with 0 remainder
273 ÷ 2 = 136 with 1 remainder
136 ÷ 2 = 68 with 0 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 222F hexadecimal to binary:

222F hexadecimal = 10001000101111 binary

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

2230 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.