FE89 hexadecimal to binary

Here we will show you how to convert the hexadecimal number FE89 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 FE89 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in FE89 by 16⁰, multiply the second to last digit in FE89 by 16¹, multiply the third to last digit in FE89 by 16², multiply the fourth to last digit in FE89 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
8 × 16¹ = 128
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:

9 + 128 + 3584 + 61440 = 65161

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.

65161 ÷ 2 = 32580 with 1 remainder
32580 ÷ 2 = 16290 with 0 remainder
16290 ÷ 2 = 8145 with 0 remainder
8145 ÷ 2 = 4072 with 1 remainder
4072 ÷ 2 = 2036 with 0 remainder
2036 ÷ 2 = 1018 with 0 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 FE89 hexadecimal to binary:

FE89 hexadecimal = 1111111010001001 binary

Hexadecimal to Binary Converter
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