EBA9 hexadecimal to binary

Here we will show you how to convert the hexadecimal number EBA9 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 EBA9 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EBA9 by 16⁰, multiply the second to last digit in EBA9 by 16¹, multiply the third to last digit in EBA9 by 16², multiply the fourth to last digit in EBA9 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
A × 16¹ = 160
B × 16² = 2816
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 + 160 + 2816 + 57344 = 60329

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.

60329 ÷ 2 = 30164 with 1 remainder
30164 ÷ 2 = 15082 with 0 remainder
15082 ÷ 2 = 7541 with 0 remainder
7541 ÷ 2 = 3770 with 1 remainder
3770 ÷ 2 = 1885 with 0 remainder
1885 ÷ 2 = 942 with 1 remainder
942 ÷ 2 = 471 with 0 remainder
471 ÷ 2 = 235 with 1 remainder
235 ÷ 2 = 117 with 1 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 EBA9 hexadecimal to binary:

EBA9 hexadecimal = 1110101110101001 binary

Hexadecimal to Binary Converter
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