FEA4 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FEA4 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 FEA4 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FEA4 by 16⁰, multiply the second to last digit in FEA4 by 16¹, multiply the third to last digit in FEA4 by 16², multiply the fourth to last digit in FEA4 by 16³, and so on, until all the digits are used.

4 × 16⁰ = 4
A × 16¹ = 160
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:

4 + 160 + 3584 + 61440 = 65188

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.

65188 ÷ 2 = 32594 with 0 remainder
32594 ÷ 2 = 16297 with 0 remainder
16297 ÷ 2 = 8148 with 1 remainder
8148 ÷ 2 = 4074 with 0 remainder
4074 ÷ 2 = 2037 with 0 remainder
2037 ÷ 2 = 1018 with 1 remainder
1018 ÷ 2 = 509 with 0 remainder
509 ÷ 2 = 254 with 1 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 FEA4 hexadecimal to binary:

FEA4 hexadecimal = 1111111010100100 binary

Hexadecimal to Binary Converter
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