89A9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 89A9 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 89A9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 89A9 by 16⁰, multiply the second to last digit in 89A9 by 16¹, multiply the third to last digit in 89A9 by 16², multiply the fourth to last digit in 89A9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
A × 16¹ = 160
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:

9 + 160 + 2304 + 32768 = 35241

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.

35241 ÷ 2 = 17620 with 1 remainder
17620 ÷ 2 = 8810 with 0 remainder
8810 ÷ 2 = 4405 with 0 remainder
4405 ÷ 2 = 2202 with 1 remainder
2202 ÷ 2 = 1101 with 0 remainder
1101 ÷ 2 = 550 with 1 remainder
550 ÷ 2 = 275 with 0 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 89A9 hexadecimal to binary:

89A9 hexadecimal = 1000100110101001 binary

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89AA hexadecimal to binary
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