22DB hexadecimal to binary

Here we will show you how to convert the hexadecimal number 22DB 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 22DB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 22DB by 16⁰, multiply the second to last digit in 22DB by 16¹, multiply the third to last digit in 22DB by 16², multiply the fourth to last digit in 22DB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
D × 16¹ = 208
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:

11 + 208 + 512 + 8192 = 8923

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.

8923 ÷ 2 = 4461 with 1 remainder
4461 ÷ 2 = 2230 with 1 remainder
2230 ÷ 2 = 1115 with 0 remainder
1115 ÷ 2 = 557 with 1 remainder
557 ÷ 2 = 278 with 1 remainder
278 ÷ 2 = 139 with 0 remainder
139 ÷ 2 = 69 with 1 remainder
69 ÷ 2 = 34 with 1 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 22DB hexadecimal to binary:

22DB hexadecimal = 10001011011011 binary

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22DC hexadecimal to binary
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