66DF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 66DF 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 66DF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 66DF by 16⁰, multiply the second to last digit in 66DF by 16¹, multiply the third to last digit in 66DF by 16², multiply the fourth to last digit in 66DF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
D × 16¹ = 208
6 × 16² = 1536
6 × 16³ = 24576

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:

15 + 208 + 1536 + 24576 = 26335

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.

26335 ÷ 2 = 13167 with 1 remainder
13167 ÷ 2 = 6583 with 1 remainder
6583 ÷ 2 = 3291 with 1 remainder
3291 ÷ 2 = 1645 with 1 remainder
1645 ÷ 2 = 822 with 1 remainder
822 ÷ 2 = 411 with 0 remainder
411 ÷ 2 = 205 with 1 remainder
205 ÷ 2 = 102 with 1 remainder
102 ÷ 2 = 51 with 0 remainder
51 ÷ 2 = 25 with 1 remainder
25 ÷ 2 = 12 with 1 remainder
12 ÷ 2 = 6 with 0 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 66DF hexadecimal to binary:

66DF hexadecimal = 110011011011111 binary

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

66E0 hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.