D502 hexadecimal to binary

Here we will show you how to convert the hexadecimal number D502 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 D502 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in D502 by 16⁰, multiply the second to last digit in D502 by 16¹, multiply the third to last digit in D502 by 16², multiply the fourth to last digit in D502 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
0 × 16¹ = 0
5 × 16² = 1280
D × 16³ = 53248

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 + 0 + 1280 + 53248 = 54530

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.

54530 ÷ 2 = 27265 with 0 remainder
27265 ÷ 2 = 13632 with 1 remainder
13632 ÷ 2 = 6816 with 0 remainder
6816 ÷ 2 = 3408 with 0 remainder
3408 ÷ 2 = 1704 with 0 remainder
1704 ÷ 2 = 852 with 0 remainder
852 ÷ 2 = 426 with 0 remainder
426 ÷ 2 = 213 with 0 remainder
213 ÷ 2 = 106 with 1 remainder
106 ÷ 2 = 53 with 0 remainder
53 ÷ 2 = 26 with 1 remainder
26 ÷ 2 = 13 with 0 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 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 D502 hexadecimal to binary:

D502 hexadecimal = 1101010100000010 binary

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

D503 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.