20DF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 20DF 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 20DF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 20DF by 16⁰, multiply the second to last digit in 20DF by 16¹, multiply the third to last digit in 20DF by 16², multiply the fourth to last digit in 20DF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
D × 16¹ = 208
0 × 16² = 0
2 × 16³ = 8192

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 + 0 + 8192 = 8415

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.

8415 ÷ 2 = 4207 with 1 remainder
4207 ÷ 2 = 2103 with 1 remainder
2103 ÷ 2 = 1051 with 1 remainder
1051 ÷ 2 = 525 with 1 remainder
525 ÷ 2 = 262 with 1 remainder
262 ÷ 2 = 131 with 0 remainder
131 ÷ 2 = 65 with 1 remainder
65 ÷ 2 = 32 with 1 remainder
32 ÷ 2 = 16 with 0 remainder
16 ÷ 2 = 8 with 0 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 20DF hexadecimal to binary:

20DF hexadecimal = 10000011011111 binary

Hexadecimal to Binary Converter
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