55DF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 55DF 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 55DF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 55DF by 16⁰, multiply the second to last digit in 55DF by 16¹, multiply the third to last digit in 55DF by 16², multiply the fourth to last digit in 55DF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
D × 16¹ = 208
5 × 16² = 1280
5 × 16³ = 20480

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 + 1280 + 20480 = 21983

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.

21983 ÷ 2 = 10991 with 1 remainder
10991 ÷ 2 = 5495 with 1 remainder
5495 ÷ 2 = 2747 with 1 remainder
2747 ÷ 2 = 1373 with 1 remainder
1373 ÷ 2 = 686 with 1 remainder
686 ÷ 2 = 343 with 0 remainder
343 ÷ 2 = 171 with 1 remainder
171 ÷ 2 = 85 with 1 remainder
85 ÷ 2 = 42 with 1 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 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 55DF hexadecimal to binary:

55DF hexadecimal = 101010111011111 binary

Hexadecimal to Binary Converter
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