8CA9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 8CA9 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 8CA9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 8CA9 by 16⁰, multiply the second to last digit in 8CA9 by 16¹, multiply the third to last digit in 8CA9 by 16², multiply the fourth to last digit in 8CA9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
A × 16¹ = 160
C × 16² = 3072
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 + 3072 + 32768 = 36009

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.

36009 ÷ 2 = 18004 with 1 remainder
18004 ÷ 2 = 9002 with 0 remainder
9002 ÷ 2 = 4501 with 0 remainder
4501 ÷ 2 = 2250 with 1 remainder
2250 ÷ 2 = 1125 with 0 remainder
1125 ÷ 2 = 562 with 1 remainder
562 ÷ 2 = 281 with 0 remainder
281 ÷ 2 = 140 with 1 remainder
140 ÷ 2 = 70 with 0 remainder
70 ÷ 2 = 35 with 0 remainder
35 ÷ 2 = 17 with 1 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 8CA9 hexadecimal to binary:

8CA9 hexadecimal = 1000110010101001 binary

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8CAA hexadecimal to binary
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