26DB hexadecimal to binary

Here we will show you how to convert the hexadecimal number 26DB 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 26DB from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 26DB by 16⁰, multiply the second to last digit in 26DB by 16¹, multiply the third to last digit in 26DB by 16², multiply the fourth to last digit in 26DB by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
D × 16¹ = 208
6 × 16² = 1536
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 + 1536 + 8192 = 9947

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.

9947 ÷ 2 = 4973 with 1 remainder
4973 ÷ 2 = 2486 with 1 remainder
2486 ÷ 2 = 1243 with 0 remainder
1243 ÷ 2 = 621 with 1 remainder
621 ÷ 2 = 310 with 1 remainder
310 ÷ 2 = 155 with 0 remainder
155 ÷ 2 = 77 with 1 remainder
77 ÷ 2 = 38 with 1 remainder
38 ÷ 2 = 19 with 0 remainder
19 ÷ 2 = 9 with 1 remainder
9 ÷ 2 = 4 with 1 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 26DB hexadecimal to binary:

26DB hexadecimal = 10011011011011 binary

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26DC hexadecimal to binary
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