1DEF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1DEF 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 1DEF from hexadecimal to binary are explained below.

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

F × 16⁰ = 15
E × 16¹ = 224
D × 16² = 3328
1 × 16³ = 4096

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 + 224 + 3328 + 4096 = 7663

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.

7663 ÷ 2 = 3831 with 1 remainder
3831 ÷ 2 = 1915 with 1 remainder
1915 ÷ 2 = 957 with 1 remainder
957 ÷ 2 = 478 with 1 remainder
478 ÷ 2 = 239 with 0 remainder
239 ÷ 2 = 119 with 1 remainder
119 ÷ 2 = 59 with 1 remainder
59 ÷ 2 = 29 with 1 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 remainder
7 ÷ 2 = 3 with 1 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 1DEF hexadecimal to binary:

1DEF hexadecimal = 1110111101111 binary

Hexadecimal to Binary Converter
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