F1DE hexadecimal to binary

Here we will show you how to convert the hexadecimal number F1DE 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 F1DE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in F1DE by 16⁰, multiply the second to last digit in F1DE by 16¹, multiply the third to last digit in F1DE by 16², multiply the fourth to last digit in F1DE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
D × 16¹ = 208
1 × 16² = 256
F × 16³ = 61440

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:

14 + 208 + 256 + 61440 = 61918

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.

61918 ÷ 2 = 30959 with 0 remainder
30959 ÷ 2 = 15479 with 1 remainder
15479 ÷ 2 = 7739 with 1 remainder
7739 ÷ 2 = 3869 with 1 remainder
3869 ÷ 2 = 1934 with 1 remainder
1934 ÷ 2 = 967 with 0 remainder
967 ÷ 2 = 483 with 1 remainder
483 ÷ 2 = 241 with 1 remainder
241 ÷ 2 = 120 with 1 remainder
120 ÷ 2 = 60 with 0 remainder
60 ÷ 2 = 30 with 0 remainder
30 ÷ 2 = 15 with 0 remainder
15 ÷ 2 = 7 with 1 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 F1DE hexadecimal to binary:

F1DE hexadecimal = 1111000111011110 binary

Hexadecimal to Binary Converter
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F1DF hexadecimal to binary
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