89CA hexadecimal to binary

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

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

A × 16⁰ = 10
C × 16¹ = 192
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:

10 + 192 + 2304 + 32768 = 35274

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.

35274 ÷ 2 = 17637 with 0 remainder
17637 ÷ 2 = 8818 with 1 remainder
8818 ÷ 2 = 4409 with 0 remainder
4409 ÷ 2 = 2204 with 1 remainder
2204 ÷ 2 = 1102 with 0 remainder
1102 ÷ 2 = 551 with 0 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 89CA hexadecimal to binary:

89CA hexadecimal = 1000100111001010 binary

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89CB hexadecimal to binary
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