26DF hexadecimal to binary

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

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

F × 16⁰ = 15
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:

15 + 208 + 1536 + 8192 = 9951

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.

9951 ÷ 2 = 4975 with 1 remainder
4975 ÷ 2 = 2487 with 1 remainder
2487 ÷ 2 = 1243 with 1 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 26DF hexadecimal to binary:

26DF hexadecimal = 10011011011111 binary

Hexadecimal to Binary Converter
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