FE4E hexadecimal to binary

Here we will show you how to convert the hexadecimal number FE4E 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 FE4E from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FE4E by 16⁰, multiply the second to last digit in FE4E by 16¹, multiply the third to last digit in FE4E by 16², multiply the fourth to last digit in FE4E by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
4 × 16¹ = 64
E × 16² = 3584
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 + 64 + 3584 + 61440 = 65102

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.

65102 ÷ 2 = 32551 with 0 remainder
32551 ÷ 2 = 16275 with 1 remainder
16275 ÷ 2 = 8137 with 1 remainder
8137 ÷ 2 = 4068 with 1 remainder
4068 ÷ 2 = 2034 with 0 remainder
2034 ÷ 2 = 1017 with 0 remainder
1017 ÷ 2 = 508 with 1 remainder
508 ÷ 2 = 254 with 0 remainder
254 ÷ 2 = 127 with 0 remainder
127 ÷ 2 = 63 with 1 remainder
63 ÷ 2 = 31 with 1 remainder
31 ÷ 2 = 15 with 1 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 FE4E hexadecimal to binary:

FE4E hexadecimal = 1111111001001110 binary

Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.

FE4F hexadecimal to binary
Go here for the next hexadecimal number on our list that we have converted to binary.