89FF hexadecimal to binary

Here we will show you how to convert the hexadecimal number 89FF 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 89FF from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 89FF by 16⁰, multiply the second to last digit in 89FF by 16¹, multiply the third to last digit in 89FF by 16², multiply the fourth to last digit in 89FF by 16³, and so on, until all the digits are used.

F × 16⁰ = 15
F × 16¹ = 240
9 × 16² = 2304
8 × 16³ = 32768

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 + 240 + 2304 + 32768 = 35327

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.

35327 ÷ 2 = 17663 with 1 remainder
17663 ÷ 2 = 8831 with 1 remainder
8831 ÷ 2 = 4415 with 1 remainder
4415 ÷ 2 = 2207 with 1 remainder
2207 ÷ 2 = 1103 with 1 remainder
1103 ÷ 2 = 551 with 1 remainder
551 ÷ 2 = 275 with 1 remainder
275 ÷ 2 = 137 with 1 remainder
137 ÷ 2 = 68 with 1 remainder
68 ÷ 2 = 34 with 0 remainder
34 ÷ 2 = 17 with 0 remainder
17 ÷ 2 = 8 with 1 remainder
8 ÷ 2 = 4 with 0 remainder
4 ÷ 2 = 2 with 0 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 89FF hexadecimal to binary:

89FF hexadecimal = 1000100111111111 binary

Hexadecimal to Binary Converter
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