54FE hexadecimal to binary

Here we will show you how to convert the hexadecimal number 54FE 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 54FE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 54FE by 16⁰, multiply the second to last digit in 54FE by 16¹, multiply the third to last digit in 54FE by 16², multiply the fourth to last digit in 54FE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
F × 16¹ = 240
4 × 16² = 1024
5 × 16³ = 20480

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 + 1024 + 20480 = 21758

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.

21758 ÷ 2 = 10879 with 0 remainder
10879 ÷ 2 = 5439 with 1 remainder
5439 ÷ 2 = 2719 with 1 remainder
2719 ÷ 2 = 1359 with 1 remainder
1359 ÷ 2 = 679 with 1 remainder
679 ÷ 2 = 339 with 1 remainder
339 ÷ 2 = 169 with 1 remainder
169 ÷ 2 = 84 with 1 remainder
84 ÷ 2 = 42 with 0 remainder
42 ÷ 2 = 21 with 0 remainder
21 ÷ 2 = 10 with 1 remainder
10 ÷ 2 = 5 with 0 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 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 54FE hexadecimal to binary:

54FE hexadecimal = 101010011111110 binary

Hexadecimal to Binary Converter
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54FF hexadecimal to binary
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