35DB hexadecimal to binary

Here we will show you how to convert the hexadecimal number 35DB 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 35DB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 35DB by 16⁰, multiply the second to last digit in 35DB by 16¹, multiply the third to last digit in 35DB by 16², multiply the fourth to last digit in 35DB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
D × 16¹ = 208
5 × 16² = 1280
3 × 16³ = 12288

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 + 1280 + 12288 = 13787

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.

13787 ÷ 2 = 6893 with 1 remainder
6893 ÷ 2 = 3446 with 1 remainder
3446 ÷ 2 = 1723 with 0 remainder
1723 ÷ 2 = 861 with 1 remainder
861 ÷ 2 = 430 with 1 remainder
430 ÷ 2 = 215 with 0 remainder
215 ÷ 2 = 107 with 1 remainder
107 ÷ 2 = 53 with 1 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 35DB hexadecimal to binary:

35DB hexadecimal = 11010111011011 binary

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35DC hexadecimal to binary
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