55FD hexadecimal to binary

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

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

D × 16⁰ = 13
F × 16¹ = 240
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:

13 + 240 + 1280 + 20480 = 22013

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.

22013 ÷ 2 = 11006 with 1 remainder
11006 ÷ 2 = 5503 with 0 remainder
5503 ÷ 2 = 2751 with 1 remainder
2751 ÷ 2 = 1375 with 1 remainder
1375 ÷ 2 = 687 with 1 remainder
687 ÷ 2 = 343 with 1 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 55FD hexadecimal to binary:

55FD hexadecimal = 101010111111101 binary

Hexadecimal to Binary Converter
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55FE hexadecimal to binary
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