EA89 hexadecimal to binary

Here we will show you how to convert the hexadecimal number EA89 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 EA89 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EA89 by 16⁰, multiply the second to last digit in EA89 by 16¹, multiply the third to last digit in EA89 by 16², multiply the fourth to last digit in EA89 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
8 × 16¹ = 128
A × 16² = 2560
E × 16³ = 57344

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 + 2560 + 57344 = 60041

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.

60041 ÷ 2 = 30020 with 1 remainder
30020 ÷ 2 = 15010 with 0 remainder
15010 ÷ 2 = 7505 with 0 remainder
7505 ÷ 2 = 3752 with 1 remainder
3752 ÷ 2 = 1876 with 0 remainder
1876 ÷ 2 = 938 with 0 remainder
938 ÷ 2 = 469 with 0 remainder
469 ÷ 2 = 234 with 1 remainder
234 ÷ 2 = 117 with 0 remainder
117 ÷ 2 = 58 with 1 remainder
58 ÷ 2 = 29 with 0 remainder
29 ÷ 2 = 14 with 1 remainder
14 ÷ 2 = 7 with 0 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 EA89 hexadecimal to binary:

EA89 hexadecimal = 1110101010001001 binary

Hexadecimal to Binary Converter
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