DF2C hexadecimal to binary

Here we will show you how to convert the hexadecimal number DF2C 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 DF2C from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DF2C by 16⁰, multiply the second to last digit in DF2C by 16¹, multiply the third to last digit in DF2C by 16², multiply the fourth to last digit in DF2C by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
2 × 16¹ = 32
F × 16² = 3840
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:

12 + 32 + 3840 + 53248 = 57132

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.

57132 ÷ 2 = 28566 with 0 remainder
28566 ÷ 2 = 14283 with 0 remainder
14283 ÷ 2 = 7141 with 1 remainder
7141 ÷ 2 = 3570 with 1 remainder
3570 ÷ 2 = 1785 with 0 remainder
1785 ÷ 2 = 892 with 1 remainder
892 ÷ 2 = 446 with 0 remainder
446 ÷ 2 = 223 with 0 remainder
223 ÷ 2 = 111 with 1 remainder
111 ÷ 2 = 55 with 1 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 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 DF2C hexadecimal to binary:

DF2C hexadecimal = 1101111100101100 binary

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

DF2D hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.