55B3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 55B3 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 55B3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 55B3 by 16⁰, multiply the second to last digit in 55B3 by 16¹, multiply the third to last digit in 55B3 by 16², multiply the fourth to last digit in 55B3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
B × 16¹ = 176
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:

3 + 176 + 1280 + 20480 = 21939

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.

21939 ÷ 2 = 10969 with 1 remainder
10969 ÷ 2 = 5484 with 1 remainder
5484 ÷ 2 = 2742 with 0 remainder
2742 ÷ 2 = 1371 with 0 remainder
1371 ÷ 2 = 685 with 1 remainder
685 ÷ 2 = 342 with 1 remainder
342 ÷ 2 = 171 with 0 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 55B3 hexadecimal to binary:

55B3 hexadecimal = 101010110110011 binary

Hexadecimal to Binary Converter
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