E3F3 hexadecimal to binary

Here we will show you how to convert the hexadecimal number E3F3 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 E3F3 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in E3F3 by 16⁰, multiply the second to last digit in E3F3 by 16¹, multiply the third to last digit in E3F3 by 16², multiply the fourth to last digit in E3F3 by 16³, and so on, until all the digits are used.

3 × 16⁰ = 3
F × 16¹ = 240
3 × 16² = 768
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:

3 + 240 + 768 + 57344 = 58355

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.

58355 ÷ 2 = 29177 with 1 remainder
29177 ÷ 2 = 14588 with 1 remainder
14588 ÷ 2 = 7294 with 0 remainder
7294 ÷ 2 = 3647 with 0 remainder
3647 ÷ 2 = 1823 with 1 remainder
1823 ÷ 2 = 911 with 1 remainder
911 ÷ 2 = 455 with 1 remainder
455 ÷ 2 = 227 with 1 remainder
227 ÷ 2 = 113 with 1 remainder
113 ÷ 2 = 56 with 1 remainder
56 ÷ 2 = 28 with 0 remainder
28 ÷ 2 = 14 with 0 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 E3F3 hexadecimal to binary:

E3F3 hexadecimal = 1110001111110011 binary

Hexadecimal to Binary Converter
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