8DB hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8DB 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 8DB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8DB by 16⁰, multiply the second to last digit in 8DB by 16¹, multiply the third to last digit in 8DB by 16², multiply the fourth to last digit in 8DB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
D × 16¹ = 208
8 × 16² = 2048

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 + 2048 = 2267

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.

2267 ÷ 2 = 1133 with 1 remainder
1133 ÷ 2 = 566 with 1 remainder
566 ÷ 2 = 283 with 0 remainder
283 ÷ 2 = 141 with 1 remainder
141 ÷ 2 = 70 with 1 remainder
70 ÷ 2 = 35 with 0 remainder
35 ÷ 2 = 17 with 1 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 8DB hexadecimal to binary:

8DB hexadecimal = 100011011011 binary

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8DC hexadecimal to binary
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