DE72 hexadecimal to binary

Here we will show you how to convert the hexadecimal number DE72 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 DE72 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DE72 by 16⁰, multiply the second to last digit in DE72 by 16¹, multiply the third to last digit in DE72 by 16², multiply the fourth to last digit in DE72 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
7 × 16¹ = 112
E × 16² = 3584
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 + 112 + 3584 + 53248 = 56946

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.

56946 ÷ 2 = 28473 with 0 remainder
28473 ÷ 2 = 14236 with 1 remainder
14236 ÷ 2 = 7118 with 0 remainder
7118 ÷ 2 = 3559 with 0 remainder
3559 ÷ 2 = 1779 with 1 remainder
1779 ÷ 2 = 889 with 1 remainder
889 ÷ 2 = 444 with 1 remainder
444 ÷ 2 = 222 with 0 remainder
222 ÷ 2 = 111 with 0 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 DE72 hexadecimal to binary:

DE72 hexadecimal = 1101111001110010 binary

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DE73 hexadecimal to binary
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