DE7F hexadecimal to binary

Here we will show you how to convert the hexadecimal number DE7F 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 DE7F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in DE7F by 16⁰, multiply the second to last digit in DE7F by 16¹, multiply the third to last digit in DE7F by 16², multiply the fourth to last digit in DE7F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
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:

15 + 112 + 3584 + 53248 = 56959

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.

56959 ÷ 2 = 28479 with 1 remainder
28479 ÷ 2 = 14239 with 1 remainder
14239 ÷ 2 = 7119 with 1 remainder
7119 ÷ 2 = 3559 with 1 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 DE7F hexadecimal to binary:

DE7F hexadecimal = 1101111001111111 binary

Hexadecimal to Binary Converter
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