FE3F hexadecimal to binary

Here we will show you how to convert the hexadecimal number FE3F 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 FE3F from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FE3F by 16⁰, multiply the second to last digit in FE3F by 16¹, multiply the third to last digit in FE3F by 16², multiply the fourth to last digit in FE3F by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
3 × 16¹ = 48
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:

15 + 48 + 3584 + 61440 = 65087

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.

65087 ÷ 2 = 32543 with 1 remainder
32543 ÷ 2 = 16271 with 1 remainder
16271 ÷ 2 = 8135 with 1 remainder
8135 ÷ 2 = 4067 with 1 remainder
4067 ÷ 2 = 2033 with 1 remainder
2033 ÷ 2 = 1016 with 1 remainder
1016 ÷ 2 = 508 with 0 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 FE3F hexadecimal to binary:

FE3F hexadecimal = 1111111000111111 binary

Hexadecimal to Binary Converter
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FE40 hexadecimal to binary
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