1EFE hexadecimal to binary

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

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

E × 16⁰ = 14
F × 16¹ = 240
E × 16² = 3584
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:

14 + 240 + 3584 + 4096 = 7934

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.

7934 ÷ 2 = 3967 with 0 remainder
3967 ÷ 2 = 1983 with 1 remainder
1983 ÷ 2 = 991 with 1 remainder
991 ÷ 2 = 495 with 1 remainder
495 ÷ 2 = 247 with 1 remainder
247 ÷ 2 = 123 with 1 remainder
123 ÷ 2 = 61 with 1 remainder
61 ÷ 2 = 30 with 1 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 1EFE hexadecimal to binary:

1EFE hexadecimal = 1111011111110 binary

Hexadecimal to Binary Converter
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1EFF hexadecimal to binary
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