55F2 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 55F2 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 55F2 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 55F2 by 16⁰, multiply the second to last digit in 55F2 by 16¹, multiply the third to last digit in 55F2 by 16², multiply the fourth to last digit in 55F2 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
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:

2 + 240 + 1280 + 20480 = 22002

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.

22002 ÷ 2 = 11001 with 0 remainder
11001 ÷ 2 = 5500 with 1 remainder
5500 ÷ 2 = 2750 with 0 remainder
2750 ÷ 2 = 1375 with 0 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 55F2 hexadecimal to binary:

55F2 hexadecimal = 101010111110010 binary

Hexadecimal to Binary Converter
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