EF09 hexadecimal to binary

Here we will show you how to convert the hexadecimal number EF09 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 EF09 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in EF09 by 16⁰, multiply the second to last digit in EF09 by 16¹, multiply the third to last digit in EF09 by 16², multiply the fourth to last digit in EF09 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
0 × 16¹ = 0
F × 16² = 3840
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 + 0 + 3840 + 57344 = 61193

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.

61193 ÷ 2 = 30596 with 1 remainder
30596 ÷ 2 = 15298 with 0 remainder
15298 ÷ 2 = 7649 with 0 remainder
7649 ÷ 2 = 3824 with 1 remainder
3824 ÷ 2 = 1912 with 0 remainder
1912 ÷ 2 = 956 with 0 remainder
956 ÷ 2 = 478 with 0 remainder
478 ÷ 2 = 239 with 0 remainder
239 ÷ 2 = 119 with 1 remainder
119 ÷ 2 = 59 with 1 remainder
59 ÷ 2 = 29 with 1 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 EF09 hexadecimal to binary:

EF09 hexadecimal = 1110111100001001 binary

Hexadecimal to Binary Converter
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