AD55 hexadecimal to binary

Here we will show you how to convert the hexadecimal number AD55 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 AD55 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in AD55 by 16⁰, multiply the second to last digit in AD55 by 16¹, multiply the third to last digit in AD55 by 16², multiply the fourth to last digit in AD55 by 16³, and so on, until all the digits are used.

5 × 16⁰ = 5
5 × 16¹ = 80
D × 16² = 3328
A × 16³ = 40960

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:

5 + 80 + 3328 + 40960 = 44373

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.

44373 ÷ 2 = 22186 with 1 remainder
22186 ÷ 2 = 11093 with 0 remainder
11093 ÷ 2 = 5546 with 1 remainder
5546 ÷ 2 = 2773 with 0 remainder
2773 ÷ 2 = 1386 with 1 remainder
1386 ÷ 2 = 693 with 0 remainder
693 ÷ 2 = 346 with 1 remainder
346 ÷ 2 = 173 with 0 remainder
173 ÷ 2 = 86 with 1 remainder
86 ÷ 2 = 43 with 0 remainder
43 ÷ 2 = 21 with 1 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 AD55 hexadecimal to binary:

AD55 hexadecimal = 1010110101010101 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

AD56 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.