A0DF hexadecimal to binary

Here we will show you how to convert the hexadecimal number A0DF 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 A0DF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A0DF by 16⁰, multiply the second to last digit in A0DF by 16¹, multiply the third to last digit in A0DF by 16², multiply the fourth to last digit in A0DF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
D × 16¹ = 208
0 × 16² = 0
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:

15 + 208 + 0 + 40960 = 41183

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.

41183 ÷ 2 = 20591 with 1 remainder
20591 ÷ 2 = 10295 with 1 remainder
10295 ÷ 2 = 5147 with 1 remainder
5147 ÷ 2 = 2573 with 1 remainder
2573 ÷ 2 = 1286 with 1 remainder
1286 ÷ 2 = 643 with 0 remainder
643 ÷ 2 = 321 with 1 remainder
321 ÷ 2 = 160 with 1 remainder
160 ÷ 2 = 80 with 0 remainder
80 ÷ 2 = 40 with 0 remainder
40 ÷ 2 = 20 with 0 remainder
20 ÷ 2 = 10 with 0 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 A0DF hexadecimal to binary:

A0DF hexadecimal = 1010000011011111 binary

Hexadecimal to Binary Converter
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